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MATHEMATICS (642 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 6)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)

        1 2 3 4 | Last

Journal Cover Australian Senior Mathematics Journal
  [1 followers]  Follow
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0819-4564
   Published by RMIT Publishing Homepage  [403 journals]
  • Volume 30 Issue 2 - A brief but important note on the product rule
    • Abstract: Merrotsy, Peter
      The product rule refers to the derivative of the product of two functions expressed in terms of the functions and their derivatives. This result first naturally appears in the subject Mathematical Methods in the senior secondary Australian Curriculum (Australian Curriculum, Assessment and Reporting Authority [ACARA], n.d.b). In the curriculum content, it is mentioned by name only (Unit 3, Topic 1, ACMMM104). Elsewhere (Glossary, p. 6), detail is given in the form.

      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - The Goldbach conjecture: Why is it difficult?
    • Abstract: Turner, Paul
      The opinion of the mathematician Christian Goldbach, stated in correspondence with Euler in 1742, that every even number greater than 2 can be expressed as the sum of two primes, seems to be true in the sense that no one has ever found a counterexample (Boyer and Merzbach, 1989, p. 509). Yet, it has resisted all attempts to establish it as a theorem.

      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - Anatomy of the Pythagoras' tree
    • Abstract: Teia, Luis
      The grand architecture of nature can be seen at play in a tree: no two are alike. Nevertheless, there is an inescapable similarity that makes us identify a tree anywhere in the world. Just saying "tree" recalls words like green, root, leaves, still, strong, branches. The tree of primitive Pythagorean triples is no different. It has a root, or a beginning. It is rooted not on earth, but on the soil of our mind. It has branches that spring from that root as it grows with the action of nature and time. In this case, it is not the proverbial Mother Nature, but the human nature - a nature formed by the human interpretation of reality. The Pythagoras' tree presented by Berggren in 1934 has stood still and strong for almost a century, but probably it is even older. Its leaves are triples, and they grow throughout its branches. Ultimately, when one looks at the Pythagoras' tree, one looks at a 'tree'. The root is the triple (3, 4, 5). All branches and leafs emerge from, and are dependent, of this root. Like any tree, all it requires is a seed and soil, and all develops automatically. The architecture that defines the tree is present throughout the tree and is a reflection of the beginning - the root. In other words, the root (3, 4, 5) plus the same movement repeated over and over again creates the tree. In this paper, we will look at how this basic geometrical and mathematical movement governs the birth and growth of the Pythagoras' tree. Pythagoras is included in secondary education around the world including in Australian Curriculum (ACARA, n.d.), and hence this paper will be of interest to all.

      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - Ghosts of mathematicians past: Paolo Ruffini
    • Abstract: Fitzherbert, John
      Paolo Ruffini (1765-1822) may be something of an unknown in high school mathematics; however his contributions to the world of mathematics are a rich source of inspiration. Ruffini's rule (often known as synthetic division) is an efficient method of dividing a polynomial by a linear factor, with or without a remainder. Although not described by Ruffini, the process can be generalised to non-linear divisors. Ruffini's rule can be further generalised to evaluation of derivatives at a given point, does not require technology and, most importantly, it is not beyond the reach of high school mathematics students to prove why the rule works for polynomials of a specific degree.

      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - Cubic polynomials with real or complex coefficients:
           The full picture
    • Abstract: Bardell, Nicholas S
      The cubic polynomial with real coefficients y = ax3 + bx2 + cx + d in which a ≠ 0, has a rich and interesting history primarily associated with the endeavours of great mathematicians like del Ferro, Tartaglia, Cardano or Vieta who sought a solution for the roots (Katz, 1998; see Chapter 12.3: The Solution of the Cubic Equation). Suffice it to say that since the times of renaissance mathematics in Italy various techniques have been developed which yield the three roots of a general cubic equation. A 'cubic formula' does exist - much like the one for finding the two roots of a quadratic equation - but in the case of the cubic equation the formula is not easily memorised and the solution steps can get quite involved (Abramowitz and Stegun, 1970; see Chapter 3: Elementary Analytical Methods, 3.8.2 Solution of Cubic Equations). Hence it is not surprising that with the advent of the digital computer, numerical rootfinding algorithms such as those attributed to Newton-Raphson, Halley, and Householder have become the solution of choice (Weisstein, n.d.).

      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - The challenge continues
    • Abstract: Brown, Jill
      PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 2 - Corrections
    • PubDate: Mon, 28 Nov 2016 23:05:37 GMT
  • Volume 30 Issue 1 - Mathematically-literate readers
    • Abstract: Brown, Jill
      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 30 Issue 1 - On the analysis of indirect proofs: Contradiction and
    • Abstract: Jourdan, Nicolas; Yevdokimov, Oleksiy
      Proof by contradiction is a very powerful mathematical technique. Indeed, remarkable results such as the fundamental theorem of arithmetic can be proved by contradiction (e.g., Grossman, 2009, p. 248). This method of proof is also one of the oldest types of proof early Greek mathematicians developed. More than two millennia ago two of the most famous results in mathematics: The irrationality of 2 (Heath, 1921, p. 155), and the infinitude of prime numbers (Euclid, Elements IX, 20) were obtained through reasoning by contradiction. This method of proof was so well established in Greek mathematics that many of Euclid's theorems and most of Archimedes' important results were proved by contradiction.

      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 30 Issue 1 - Proof and rhetoric: The structure and origin of proof
           - from Ancient Greece to Abraham Lincoln's speech in defence of the Union
           and Paul Keating's Mabo speech
    • Abstract: Padula, Janice
      According to the latest news about declining standards in mathematics learning in Australia, boys, and girls, in particular, need to be more engaged in mathematics learning. Only 30% of mathematics students at university level in Australia are female (ABC News, 2014) although paradoxically it would seem, the majority of lawyers in Victoria are female, a profession which requires a good grasp of language, rhetoric and logic (Merritt, 2014). So why not engage girls - with one of their strengths in early childhood (and later) - language and its acquisition (Padula and Stacey, 1990) and at the same time assist boys in their teenage years when their language development has (usually) caught up with girls (Goodman, 2012; Gurian, Henley and Trueman, 2001)? One of the ways to do this would be to teach pure mathematics - in the form of proofs.

      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 30 Issue 1 - Teaching locus with a conserved property by
           integrating mathematical tools and dynamic geometric software
    • Abstract: Stupel, Moshe; Segal, Ruti; Oxman, Victor
      We present investigative tasks that concern loci, which integrate the use of dynamic geometry software (DGS) with mathematics for proving the obtained figures. Additional conditions were added to the loci: ellipse, parabola and circle, which result in the emergence of new loci, similar in form to the original loci. The mathematical relation between the parameters of the original and new loci was found by the learners. A mathematical explanation for the general case, using the 'surprising' results obtained in the investigative tasks, is presented. Integrating DGS in mathematics instruction fosters an improved teaching and learning process.

      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 30 Issue 1 - Probability: A matter of life and death
    • Abstract: Hassani, Mehdi; Kippen, Rebecca; Mills, Terence
      Life tables are mathematical tables that document probabilities of dying and life expectancies at different ages in a society. Thus, the life table contains some essential features of the health of a population. We will examine life tables from a mathematical point of view.

      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 30 Issue 1 - Integrating technologies into mathematics: Comparing
           the cases of square roots and integrals
    • Abstract: Kissane, Barry
      Although the term is often used to denote electronic devices, the idea of a 'technology', with its origins in the Greek techne (art or skill), refers in its most general sense to a way of doing things. The development and availability of various technologies for computation over the past forty years or so have influenced what we regard as important in mathematics, and what we teach to students, given the inevitable time pressures on our curriculum. In this note, we compare and contrast current approaches to two important mathematical ideas, those of square roots and of integrals, and how these have changed (or not) over time.

      PubDate: Tue, 19 Jul 2016 16:17:08 GMT
  • Volume 26 Issue 2 - Reviewers for 2012
    • PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Ponder this!: Problem set 10
    • PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Scoring points: Goals for real world problem solving
    • Abstract: Galbraith, Peter
      Recognition that real world problem solving expertise is a major educational goal continues to be reinforced internationally, at least officially, through documents that set specific goals for the learning of mathematics - as in the following: Mathematical literacy is defined in PISA as the capacity to identify, understand and engage in mathematics, and to make well-founded judgements about the role that mathematics plays in an individual's current and future private life, occupational life, social life with peers and relatives, and life as a constructive, concerned and reflective citizen. (OECD, 2001, p. 22).

      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - The mathematics of networks science: Scale-free,
           power-law graphs and continuum theoretical analysis
    • Abstract: Padula, Janice
      When hoping to initiate or sustain students' interest in mathematics teachers should always consider relevance, relevance to students' lives and in the middle and later years of instruction in high school and university, accessibility. A topic such as the mathematics behind networks science, more specifically scale-free graphs, is up-to-date (think of the recent award-winning film, The Social Network, Spacey et al., 2010), highly relevant to students' lives, and accessible. This article illustrates how mathematicians and scientists work together collaboratively when applying mathematics and developing new scientific theories, and describes ways of teaching mathematics in a highly meaningful, real-world context with a topic which is widely acknowledged as being important mathematically and scientifically.

      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Explaining definitions in secondary school
           mathematics: a0, an, 0!
    • Abstract: Tay, Eng Guan; Leong, Yew Hoong
      We look for teaching opportunities within the curriculum to "bring the practice of knowing mathematics in school closer to what it means to know within the discipline" (Lampert, 1990, p. 29). We should also be concerned about avoiding the scenario where instead of capitalising on such teaching opportunities, a wrong treatment of an unavoidable mathematical notion (such as a0) would leave an indelible impression on students that mathematics has strange inscrutable rules and devices or even more ironically mathematics is illogical.

      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Giving more realistic definitions of trigonometric
    • Abstract: Bhattacharjee, Pramode Ranjan
      The theoretical study of Physical Science is based on many conventions. For a systematic study, one is to follow the normal conventions which have already earned international recognition. Now, what about those conventions which are not at all realistic and which have no resemblance with problems in real world' It is a high time to think of such conventions and to get rid of them with alternative replacements in compliance with real life situations or to deal with a problem where such a convention is used by alternative treatment so as to establish a bridge between theory and practice. Such attempts have been made in Bhattacharjee (2002, 2008, 2011, 2012). A means of getting rid of the most misleading sign convention of geometrical optics has been offered in Bhattacharjee (2002, 2012). Also considering the generalized equations of motion with the approach offered in Bhattacharjee (2008, 2011), one can easily do away with the need of using the ambiguous sign convention in regard to distance measurement which has been in regular use in solving typical problems of elementary mechanics for many years.

      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Visualising the complex roots of quadratic equations
           with real coefficients
    • Abstract: Bardell, Nicholas S
      The roots of the general quadratic equation y = ax2 + bx + c (real a, b, c) are known to occur in the following sets: (i) real and distinct; (ii) real and coincident; and (iii) a complex conjugate pair. Case (iii), which provides the focus for this investigation, can only occur when the values of the real coefficients a, b, and c are such as to render the discriminant negative. In this case, a simple two-dimensional x-y plot of the quadratic equation does not reveal the location of the complex conjugate roots, and the interested student might well be forgiven for asking, "Where exactly are the roots located and why can't I see them'" In the author's experience, this sort of question is hardly ever raised - or answered satisfactorily - in school Years 11 or 12, or in undergraduate mathematics courses. The purpose of this paper therefore is to provide a clear answer to this question by revealing the whereabouts of the complex roots and explaining the significance of the conjugate pairing.

      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 2 - Envisioning the future of the mathematical sciences
           and mathematics teaching
    • Abstract: Brown, Jill; Stillman, Gloria
      PubDate: Mon, 24 Dec 2012 10:23:52 GMT
  • Volume 26 Issue 1 - Ponder this! Problem set 9
    • Abstract: Yevdokimov, Oleksiy
      As usual, the purpose of this section is to supply teachers and students with a selection of interesting problems. In this issue we invite readers to deal with determinants that remain a core topic of the first course on linear algebra at the undergraduate level.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - On periodicity of trigonometric functions and
           connections with elementary number theoretic ideas
    • Abstract: Stupel, Moshe
      The notion of periodicity stands for regular recurrence of phenomena in a particular order in nature or in the actions of man, machine, etc. Many examples can be given from daily life featuring periodicity: day and night, the weekdays, the months of the year, the circulation of blood in our body, the function of the heart, the operation of a clock, the natural circulation of water, crop rotation, and tree crop rotation. In astronomy there are many periodical phenomena: the revolution of planets around the sun, the Solar Cycle and the Lunar Cycle, the cycle of intercalation in a period of 19 years: "Every 19 years of which 7 are intercalary and 12 are regular, is called a Period" (Maimonides, Sanctification of the Month 6). Mathematically the meaning of periodicity is that some value recurs with a constant frequency.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - A new iterative method to calculate pi
    • Abstract: Dion, Peter; Ho, Anthony
      For at least 2000 years people have been trying to calculate the value of pi, the ratio of the circumference to the diameter of a circle. We know that pi is an irrational number; its decimal representation goes on forever. Early methods were geometric, involving the use of inscribed and circumscribed polygons of a circle. However, real accuracy did not come until the use of infinite series techniques, in which one can, by calculating more and more terms, obtain smaller and smaller corrections all leading to a precise value. Such series go on forever, so the limitation on accuracy is how much time one is willing to devote to the task and how fast the computer is, but mainly how quickly your series converges.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - Pythagoras' garden, revisited
    • Abstract: Bernhart, Frank R; Price, HLee
      Mack and Czernezkyj (2010) have given an interesting account of primitive Pythagorean triples (PPTs) from a geometrical perspective. We wish here to enlarge on the role of the equicircles (incircle and three excircles), and show there is yet another family tree in Pythagoras' garden.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - On interpreting and extracting information from the
           cumulative distribution function curve: A new perspective with
    • Abstract: Balasooriya, Uditha; Li, Jackie; Low, Chan Kee
      For any density function (or probability function), there always corresponds a cumulative distribution function (cdf). It is a well-known mathematical fact that the cdf is more general than the density function, in the sense that for a given distribution the former may exist without the existence of the latter. Nevertheless, while the density function curve is frequently adopted as a graphical device in depicting the main attributes of the distribution it represents, the cdf curve is usually ignored in such practical analysis.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - Building intuitions about statistical inference based
           on resampling
    • Abstract: Watson, Jane; Chance, Beth
      Formal inference, which makes theoretical assumptions about distributions and applies hypothesis testing procedures with null and alternative hypotheses, is notoriously difficult for tertiary students to master. The debate about whether this content should appear in Years 11 and 12 of the Australian Curriculum: Mathematics has gone on for several years. If formal inference is not included in Years 11 and 12, what statistical content, if any, should there be' Should students continue learning more data handling skills, which are a feature of the F-10 curriculum (Australian Curriculum, Assessment and Reporting Authority [ACARA], 2011)' Perhaps the focus should be on procedural aspects, such as correlation and lines of best fit, employing principles from calculus. Or perhaps the curriculum should drop statistics and focus on the more complex theoretical aspects of probability.

      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 26 Issue 1 - To engage or not to engage
    • Abstract: Stillman, Gloria; Brown, Jill
      PubDate: Tue, 25 Sep 2012 10:31:06 GMT
  • Volume 25 Issue 2 - Reviewers in 2011
    • PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - Ponder this! Problem set
    • Abstract: Yevdokimov, Oleksiy
      The purpose of the section is to supply teachers and students with a selection of interesting problems. In this issue we invite readers to look back as far as more than one hundred years ago and work on a selection of problems that had been proposed to students and teachers at that time. The tradition of publishing problems in periodicals was well established in Europe by the beginning of the nineteenth century. The first two problems appeared in The Mathematical Visitor (Martin, 1881) that was published in the seventies of the nineteenth century in the US. The next two problems are from the Russian periodical Vestnik (Newsletter) of the Experimental Physics and Elementary Mathematics (Tsimmerman, 1886-1917). The final problem comes from the Italian mathematical magazine Il Pitagora where it appeared in 1897.

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - On Vieta's formulas and the determination of a set of
           positive integers by their sum and product
    • Abstract: Valahas, Theodoros; Boukas, Andreas
      In Years 9 and 10 of secondary schooling students are typically introduced to quadratic expressions and functions and related modelling, algebra, and graphing. This includes work on the expansion and factorisation of quadratic expressions (typically with integer values of coefficients), graphing quadratic functions, finding the roots of quadratic equations and relating these to horizontal axis intercepts of corresponding graphs. For example, given the quadratic expression x2 - 5x + 6 = 0, students would attempt to factorise by seeking two integers m and n such that m + n = -5 and m x n = 6, and thus express x2 - 5x + 6 = 0 in the form (x + n) (x + n).

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - A classroom investigation into the catenary
    • Abstract: Staples, Ed
      The Catenary is the curve that an idealised hanging chain or cable assumes when supported at its ends and acted on only by its own weight... The word catenary is derived from the Latin word catena, which means "chain". Huygens first used the term catenaria in a letter to Leibniz in 1690 Hooke discovered that the catenary is the ideal curve for an arch of uniform density and thickness which supports only its own weight. (Wikipedia, catenary).

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - Parabolas: Connection between algebraic and
           geometrical representations
    • Abstract: Shriki, Atara
      A parabola is an interesting curve. What makes it interesting at the secondary school level is the fact that this curve is presented in both its contexts: algebraic and geometric. According to the intended curriculum in mathematics, in 9th grade, students should learn about quadratic functions, including simplification techniques. In the 10th grade, they are expected to solve a wide range of quadratic equations, construct graphs of parabolas, and connect algebraic and graphical representations of quadratic functions.

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - Analysing the mathematical experience: Posing the
           'What is mathematics'' Question
    • Abstract: Padula, Janice
      Have your students ever wondered what mathematics is, and exactly what it is that a mathematician does' In this paper different schools of thought are discussed and compared to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program. (The topic also fits well under the rationale for Queensland Senior Mathematics B Syllabus, Queensland Studies Authority, 2008.) In particular the work and views of two mathematicians, Kurt G del (1931) and Ian Stewart (1996), mathematician and professor Reuben Hersh (1998) and university lecturer, researcher and writer Robyn Arianrhod (2003) are used to illustrate different views of mathematics. Two documentaries are suggested for viewing by students: Dangerous Knowledge, relating the work and place of Godel in the history and foundations of mathematics (Malone and Tanner, 2008), and How Kevin Bacon Cured Cancer (Jacques, 2008) which illustrates how mathematicians and scientists work together developing and applying mathematics.

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - A square becomes a regular octagon: An authentic
           experience in proof writing
    • Abstract: Fuentes, Sarah Quebec
      The promotion of proof as a process through which mathematics knowledge and understanding have been constructed will not necessarily motivate students, though, unless they believe that they are participating in meaningful mathematical discovery (Vincent, 2005, p. 94).

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - To solve or not to solve, that is the problem
    • Abstract: Braiden, Doug
      The senior school Mathematics syllabus is often restricted to the study of single variable differential equations of the first order. Unfortunately most real life examples do not follow such types of relations. In addition, very few differential equations in real life have exact solutions that can be expressed in finite terms (Jordan and Smith, 2007, p. 2). Even if the solution can be found exactly it may be far too difficult to be clearly articulated such as those that form an infinite series. In either case, these real life problems are well beyond the scope of the secondary student to solve.

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - ICTMA15
    • Abstract: Brown, Jill; Stillman, Gloria
      During July this year, the Australian Catholic University (ACU) hosted the Fifteenth Biennial Conference on the Teaching of Mathematical Modelling and Applications (ICTMA15). Teachers, mathematicians and mathematics educators from around the world descended on the Melbourne campus of ACU.

      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 2 - To err is human
    • Abstract: Brown, Jill; Stillman, Gloria
      PubDate: Wed, 14 Dec 2011 14:58:27 GMT
  • Volume 25 Issue 1 - Problem Set 7
    • Abstract: Yevdokimov, Oleksiy
      Problems 1-4 from Euler are presented.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - Enhancing Conceptual Understanding of Trigonometry
           Using Earth Geometry and the Great Circle
    • Abstract: Wongapiwatkul, Pimpalak; Laosinchai, Parames; Panijpan, Bhinyo
      An instruction method that uses Earth geometry and the great circle to enhance students' understanding of trigonometric ideas is described. Three visual aids to help students visualise the geometry of the Earth are presented, together with a method of calculating the shortest distance between two points on the surface of the Earth, that is, the great-circle distance.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - Teaching Harmonic Motion in Trigonometry: Inductive
           Inquiry Supported by Physics Simulations
    • Abstract: Sokolowski, Andrzej; Rackley, Robin
      An argument is presented that applying trigonometric functions to model harmonic motion offers a rich scientific context to exercise mathematical modelling through inductive inquiry in trigonometry classes as well. The paper describes an activity that uses a physics simulation called 'Wave on a String' created by the PhET Interactive Simulations Project at Colorado University at Boulder, and is available on the internet. The activity's cognitive learning objectives fit into the scope of the proposed Australian mathematics curriculum that highlights the development of the skills of mathematical modelling, data collection, and analysis.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - The Logical Heart of a Classic Proof Revisited: A
           Guide to Godel's 'Incompleteness' Theorems
    • Abstract: Padula, Janice
      The main elements of Kurt Godel's proof of the 'incompleteness' of a formal system such as Bertrand Russell and A.N. Whitehead's 'Principia Mathematica' are discussed together with ways to address potential difficulties for students. The article recommends the study of the logical-skeletal structure before students attempt the proof itself and describes how students may be introduced to the proof with a documentary highlighting its importance. In addition, the paper evaluates two books for the 'general reader', by E. Nagel and J.R. Newman and by Torkel Franzen, and a description of the proof's logical core written in clear English by Solomon Feferman.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - Generating 'Random' Integers
    • Abstract: Griffiths, Martin
      A workshop for undergraduates and students in Years 11 and 12 on generating 'random' positive integers is described. The workshop explores a range of topics, from statistics to pure mathematics, including aspects of probability, random variables, and Fourier series. The teaching and learning that took place in the workshop is examined in the context of the 'Australian Senior Secondary Mathematics Curriculum'.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - Exploring Fourier Series and Gibbs Phenomenon Using
    • Abstract: Ghosh, Jonaki B
      A laboratory module on Fourier series and Gibbs phenomenon undertaken by Year 12 students using Mathematica is described. Paper and pencil methods were used to help students understand calculations while Mathematica added meaning to the calculations by providing graphical and numerical representations. Students were then able to focus on the behaviour of the graphs and the functions, which enabled them to visualize Gibbs phenomenon.

      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 25 Issue 1 - Historical Sources and Historical Development of
           Statistical Ideas
    • Abstract: Brown, Jill; Stillman, Gloria
      PubDate: Wed, 10 Aug 2011 11:50:54 GMT
  • Volume 24 Issue 2 - Ponder This!
    • Abstract: Yevdokimov, Oleksiy
      Some interesting problems for teachers and students to solve are discussed. A few famous geometric inequalities for finding new proofs are highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - The Tree in Pythagoras' Garden
    • Abstract: Mack, John; Czernezkyj, Vic
      The creation of a specific 'infinite ascent' from a single Primitive Pythagorean Triple (PPT) base and then a 'finite descent' from the PPT base is discussed. Some of the different challenges posed by Fermat as well as solutions for the same are highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - A Transformation Called 'Twist'
    • Abstract: Hwang, Daniel
      The definition of 'twist', a transformation and its various applications are discussed. Some of the different classroom tasks to help illustrate the twist transformation are highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - Is Proof Dead in the Computer-Age School
    • Abstract: Gough, John
      The need for proof to be and should be seen as a central component in school curriculum is discussed. Some of the various examples of proof and their application is highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - Things May Not Always Be as They Seem: The Set Shot in
           AFL Football
    • Abstract: Galbraith, Peter; Lockwood, Terry
      The difficulty of a set shot in AFL football and how a set shot at goal varies with position on the field is discussed. A linking of the mathematics and modeling involved, to educational settings in terms of curriculum concerns and possible teaching approaches are highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - Cognitive Development of Applying the Chain Rule
           through Three Worlds of Mathematics
    • Abstract: Kabael, Tangul Uygur
      The key aspects and features of the framework of 'three worlds of mathematics' that describes three levels of mathematics understanding are discussed. The teacher should design teaching activities that can help students relate prerequisite concepts with various chain rule applications.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - Response to Farmer
    • Abstract: Boncek, John; Harden, Sig
      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
  • Volume 24 Issue 2 - Model Fitting for Predicted Precipitation in Darwin:
           Some Issues with Model Choice
    • Abstract: Farmer, Jim
      The key aspects and features of the Markov chain model used in an exercise to predict rainfall data for Darwin airport are discussed. The various factors that led to the failure of the model in such an exercise are highlighted.

      PubDate: Fri, 3 Dec 2010 08:52:33 GMT
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