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Lowrie, Tom; Logan, Tracy; Patahuddin, Sitti Maesuri – Australian Mathematics Teacher, 2018
Experience-Language-Pictorial-Symbolic-Application [ELPSA] is a learning framework that presents mathematical ideas through a cyclic design. The ELPSA framework which can be used to develop mathematics lessons and units of work that build students' concept understanding is described here.
Descriptors: Instructional Design, Mathematical Concepts, Mathematics Instruction, Knowledge Level
Makar, Katie; Allmond, Sue – Australian Mathematics Teacher, 2018
Students need structured practice of these skills and challenging experiences which put them into practice in non-routine mathematics-rich situations. The focus of this article is to provide guidance on the development of classroom talk in a classroom over the year. Strategies are presented that were used by Kaye Bluett (pseudonym), an experienced…
Descriptors: Classroom Communication, 21st Century Skills, Skill Development, Mathematics Instruction
Jao, Limin; Hall, Jennifer – Australian Mathematics Teacher, 2018
In this article, the authors present a writing activity that allowed pre-service teachers to be creative in the mathematics classroom. Inspired by "The Important Book" by Margaret Wise Brown, students explored secondary-level mathematics concepts, discussing various attributes/characteristics of each concept through their written…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Foreign Countries, Preservice Teachers
The Nature of Middle School Mathematics Teachers' Pedagogical Content Knowledge: The Case of The Volume of Prisms
Tekin-Sitrava, Reyhan; Isiksal-Bostan, Mine – Australian Mathematics Teacher, 2018
This study investigated middle school teachers' knowledge of students' misconceptions and the sources of these misconceptions related to the volume of prisms. This case study investigated four middle school teachers who taught 8th grade students in Ankara (Turkey). Based on the analysis of the data, two misconceptions related to the volume of…
Descriptors: Middle School Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Foreign Countries
Mathematical Modelling in the Junior Secondary Years: An Approach Incorporating Mathematical Technology
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
Obara, Samuel – Australian Mathematics Teacher, 2018
Students learn mathematics by solving problems. Mathematics textbooks are full of problems, and mathematics teachers use these problems to test students' understanding of mathematical concepts. This paper discusses how problem-solving skills can be fostered with a geometric tiling problem.
Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Mathematical Concepts
Peters, Heather; Kruger, Vincent; Fitzpatrick, Emma – Australian Mathematics Teacher, 2018
This article describes open-ended activities using digital technologies in secondary school mathematics classrooms that encourage novel investigation of science, technology, engineering and mathematics (STEM) concepts.
Descriptors: Secondary School Mathematics, Foreign Countries, Mathematics Instruction, STEM Education
ELPSA Learning Design to Develop Conceptual Understandings of Algebraic Equivalence: The Use of Ribbons
Patahuddin, Sitti Maesuri; Lowrie, Robyn; Lowrie, Tom – Australian Mathematics Teacher, 2018
This project describes a way to help students recognise that the expressions on both sides of the equals sign are the same. It was developed to support teachers in disadvantaged communities to help their students make sense of mathematics.
Descriptors: Mathematics Education, Mathematics Instruction, Algebra, Mathematical Concepts
Stohlman, Micah – Australian Mathematics Teacher, 2018
The Price is Right Bidder's Row and games provide many opportunities for mathematical connections. The Price is Right website has videos or pictures for students to see how each game is played (http://www.priceisright.com/games/). This article will describe the mathematics of probability and statistics that is integrated in the famous television…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Games
Humenberger, Hans – Australian Mathematics Teacher, 2018
This article gives an example for using Dynamic Geometry Software to encourage making conjectures, reasoning, and experiencing mathematics as a process.
Descriptors: Computer Uses in Education, Computer Software, Mathematics Instruction, Geometric Concepts
Jamhari; Wararat Wongkia – Australian Mathematics Teacher, 2018
This article presents some paper-folding activities for students to explore a different way to prove some of the angle properties in a circle.
Descriptors: Mathematics Education, Geometry, Geometric Concepts, Mathematics Instruction
Kenan, Kok Xiao-Feng – Australian Mathematics Teacher, 2018
This paper discusses the importance of the joy of learning in mathematics and some ways that teachers can foster this in mathematics education.
Descriptors: Foreign Countries, Mathematics Education, Mathematics Instruction, Mathematics Teachers
Woolcott, Geoff – Australian Mathematics Teacher, 2018
Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Sequential Approach
Discovering Geometrical Transformations in the Ancient Mosaics of Cyprus: An Instructional Approach to Grade 6
Papageorgiou, Eleni; Constantinos Xenofontos – Australian Mathematics Teacher, 2018
The authors present an exploration of teaching geometrical transformations in a cultural context, using images of ancient mosaics on floors in Cyprus.
Descriptors: Foreign Countries, Mathematics Education, Mathematics Instruction, Teaching Methods
Fuentes, Sarah Quebec – Australian Mathematics Teacher, 2018
This article describes an action research project designed to help students improve the quality of their small group discussions. Practical classroom advice is included.
Descriptors: Mathematics Education, Cooperative Learning, Small Group Instruction, Group Discussion