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Showing 1 to 15 of 24 results Save | Export
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Mills, Terence; Sacrez, Aimé – Australian Mathematics Education Journal, 2020
Thomas Kuhn (1962/2012) introduced the term "paradigm shift" to the scientific literature to describe how knowledge in science develops. The aims of this article are to identify paradigm shifts, or revolutions, that have occurred in mathematics, and to discuss their relevance to teaching mathematics in schools. The authors argue that…
Descriptors: Mathematics Instruction, Cultural Differences, Models, Change
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Tillema, Erik; Gatza, Andrew; Ulrich, Catherine – Australian Mathematics Teacher, 2017
The number and algebra strand of the "Australian Curriculum: Mathematics" (2015) advocates for holding together the study of number and algebra across years K-8--a position that mathematics educators have endorsed in many countries. This recommendation along with the report "Shape of the Australian Curriculum: Mathematics"…
Descriptors: Foreign Countries, Mathematics Education, Mathematics Curriculum, National Curriculum
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Lowe, James; Carter, Merilyn; Cooper, Tom – Australian Mathematics Teacher, 2018
Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…
Descriptors: Mathematics Instruction, Mathematical Models, Algebra, Mathematics Teachers
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Wilkie, Karina J. – Educational Studies in Mathematics, 2016
Algebra has been explicit in many school curriculum programs from the early years but there are competing views on what content and approaches are appropriate for different levels of schooling. This study investigated 12-13-year-old Australian students' algebraic thinking in a hybrid environment of functional and equation-based approaches to…
Descriptors: Secondary School Mathematics, Algebra, Thinking Skills, Problem Solving
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Tobin, Patrick C.; Weiss, Vida – International Journal for Technology in Mathematics Education, 2016
The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…
Descriptors: Undergraduate Students, Mathematics Education, Mathematics Instruction, College Mathematics
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Padula, Janice – Australian Mathematics Teacher, 2014
If educators want to interest students in mathematics (and science), they must engage them in the lower forms of high school or even earlier (Fisher, 2012). So, teachers should always consider a topic's ability to interest students in the early years of instruction in high school and its topicality. Networks have come into prominence recently with…
Descriptors: Graphs, Networks, Mathematics Instruction, Algebra
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Ormond, Christine A. – Australian Journal of Teacher Education, 2016
This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a…
Descriptors: Scaffolding (Teaching Technique), Secondary School Mathematics, Algebra, Preservice Teacher Education
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Wilkie, Karina J.; Clarke, Doug – Australian Journal of Teacher Education, 2015
This paper discusses upper primary school teachers' perspectives on changes to their knowledge and practice through participation in a design-based research project. It analyses their experiences using Clarke and Hollingsworth's (2002) empirically-founded model for professional growth to understand more about the mechanisms for change that might…
Descriptors: Elementary School Teachers, Teacher Attitudes, Knowledge Level, Teaching Methods
Baratta, Wendy – Australian Mathematics Teacher, 2011
The ability to solve linear equations sets students up for success in many areas of mathematics and other disciplines requiring formula manipulations. There are many reasons why solving linear equations is a challenging skill for students to master. One major barrier for students is the inability to interpret the equals sign as anything other than…
Descriptors: Equations (Mathematics), Algebra, Problem Solving, Mathematics Education
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Warren, Elizabeth; Cooper, Tom J. – Mathematics Education Research Journal, 2009
Generalising arithmetic structures is seen as a key to developing algebraic understanding. Many adolescent students begin secondary school with a poor understanding of the structure of arithmetic. This paper presents a theory for a teaching/learning trajectory designed to build mathematical understanding and abstraction in the elementary school…
Descriptors: Foreign Countries, Elementary School Mathematics, Learning Theories, Mathematical Concepts
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Geiger, Vince; Faragher, Rhonda; Goos, Merrilyn – Mathematics Education Research Journal, 2010
This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…
Descriptors: Computer Uses in Education, Interaction, Classroom Environment, Algebra
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Obara, Samuel – Australian Senior Mathematics Journal, 2009
This paper presents an investigation by pre-service secondary school teachers in a geometry class of the relationship between the perpendicular distance from the eyeball to the wall (x) and the viewable vertical distance on the wall (y) using a view tube of constant length and diameter. In undertaking the investigation, students used tabular and…
Descriptors: Investigations, Secondary School Teachers, Geometry, Preservice Teacher Education
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Warren, Elizabeth – Mathematics Teacher Education and Development, 2009
The implementation of a new mathematics syllabus in the elementary context is problematic, especially if it contains a new content area. A professional development model, Transformative Teaching in the Early Years Mathematics (TTEYM) was specifically developed to support the implementation of the new Patterns and Algebra strand. The model was…
Descriptors: Constructivism (Learning), Social Theories, Algebra, Faculty Development
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Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
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MacGregor, M. E. – Australian Mathematics Teacher, 1987
Explores the problem of combining algebraic terms from the students' point of view and suggests changes in certain traditional teaching practices. (PK)
Descriptors: Algebra, Equations (Mathematics), Logical Thinking, Mathematical Formulas
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