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Forsythe, Susan K. – International Journal for Mathematics Teaching and Learning, 2018

This paper describes how a dynamic figure was used as the basis for a task designed to support students in developing the hierarchical classification of the kites and their subsets. Following on from a previous study using the task with pairs of students, I describe how I embedded the task into a pedagogical sequence of activities, which included…

Descriptors: Mathematics Instruction, Teaching Methods, Concept Formation, Geometric Concepts

Hurst, Chris; Huntley, Ray – International Journal for Mathematics Teaching and Learning, 2018

Multiplicative thinking is a critical component of mathematics which largely determines the extent to which people develop mathematical understanding beyond middle primary years. We contend that there are several major issues, one being that much teaching about multiplicative ideas is focussed on algorithms and procedures. An associated issue is…

Descriptors: Mathematics, Multiplication, Mathematical Logic, Mathematics Instruction

Polotskaia, Elena – International Journal for Mathematics Teaching and Learning, 2017

The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…

Descriptors: Models, Mathematics Instruction, Foreign Countries, Problem Solving

Eriksson, Inger; Jansson, Anders – International Journal for Mathematics Teaching and Learning, 2017

The issue of this article is to identify and discuss what conditions may be necessary to build into tasks to make it likely for students to be involved in an algebraic Learning Activity inspired by Davydov. Data from a pilot study was used in which a group of students (N = 28) in grade 1 (7-year-olds) were invited to participate in discussions and…

Descriptors: Algebra, Mathematics Instruction, Young Children, Pilot Projects

Nivera, Gladys C. – International Journal for Mathematics Teaching and Learning, 2017

A mathematical investigation (MI) encapsulates the reform movement in mathematics education by addressing content and process simultaneously and providing a novel opportunity for students to develop thinking skills and good mental habits. However, introducing MI to teachers and students who are used to routinised teaching approaches and…

Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, High School Students

Poon, Kin-Keung; Leung, Chi-Keung – International Journal for Mathematics Teaching and Learning, 2016

The purposes of the study reported herein were to identify the common mistakes in geometry made by junior secondary school students in Hong Kong, and to compare the students' performance in geometry with their results in a logic test. A geometry test and a logic test were developed and administered to a sample of 554 students aged between 13 and…

Descriptors: Foreign Countries, Geometry, Secondary School Students, Mathematics Instruction

Shumway, Jessica F.; Westenskow, Arla; Moyer-Packenham, Patricia S. – International Journal for Mathematics Teaching and Learning, 2016

The purpose of this study was to identify and describe students' use of number sense as they solved story problem tasks. Three 8- and 9-year-old students participated in clinical interviews. Through a process of holistic and qualitative coding, researchers used the number sense view as a theoretical framework for exploring how students' number…

Descriptors: Numbers, Mathematics Instruction, Mathematics Education, Problem Solving

Lesseig, Kristin – International Journal for Mathematics Teaching and Learning, 2016

The purpose of this study was to detail teachers' proving activity and contribute to a framework of Mathematical Knowledge for Teaching Proof (MKT for Proof). While working to justify claims about sums of consecutive numbers, teachers searched for key ideas and productively used examples to make, test and refine conjectures. Analysis of teachers'…

Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Knowledge Level

Brendefur, Jonathan L.; Hughes, Gwyneth; Ely, Robert – International Journal for Mathematics Teaching and Learning, 2015

In this article we examine how secondary school students think about functional relationships. More specifically, we examined seven students' intuitive knowledge in regards to representing two real-world situations with functions. We found students do not tend to represent functional relationships with coordinate graphs even though they are able…

Descriptors: Secondary School Students, Knowledge Level, Mathematics Instruction, Mathematical Concepts

Tobias, Jennifer M.; Roy, George J.; Safi, Farshid – International Journal for Mathematics Teaching and Learning, 2015

This article examines prospective elementary teachers' conceptions of unitizing with whole numbers and fraction concepts and operations throughout a semester-long mathematics content course. Student work samples and classroom conversations are used to illustrate the types of unitizing understandings that prospective teachers bring to teacher…

Descriptors: Preservice Teachers, Elementary School Teachers, Mathematical Concepts, Concept Formation

Lavy, Ilana; Shriki, Atara – International Journal for Mathematics Teaching and Learning, 2014

One aspect of professional development of mathematics teachers relates to the development of assessment skills. The aim of this study is to examine the effects of engaging prospective mathematics teachers in peer assessment, both as assessors and assessees, on the development of their assessment skills in general and assessment of geometrical…

Descriptors: Faculty Development, Mathematics Teachers, Mathematics Instruction, Peer Evaluation

Stout, Terra; Dwyer, Jerry; Wilhelm, Jennifer – International Journal for Mathematics Teaching and Learning, 2011

Proofs were introduced to high school students by a college mathematician. Student interest and knowledge level were assessed through pre and post tests. There was a significant gain in student knowledge but not in interest. Student learning of proof concepts was clearly displayed, while common errors were often related to lack of algebra skills.…

Descriptors: Learning Theories, Knowledge Level, Student Interests, High School Students