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Tekin-Sitrava, Reyhan – International Journal for Mathematics Teaching and Learning, 2020

Although students' nonstandard strategies have great importance in understanding students' thinking and creating effective mathematics classrooms, much remains unexplored in the literature. This study investigated 22 middle school teachers' reasoning about a student's nonstandard strategy for the division of fractions. The data were collected…

Descriptors: Middle School Mathematics, Mathematics Teachers, Teacher Attitudes, Division

Krajcevski, Milé; Sears, Ruthmae – International Journal for Mathematics Teaching and Learning, 2019

In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions…

Descriptors: Preservice Teachers, Mathematics Education, Visualization, Misconceptions

Gulkilik, Hilal; Kaplan, Hatice Aydan; Emul, Nida – International Journal for Mathematics Teaching and Learning, 2019

The purpose of this qualitative study was to analyze the relationship between argumentation and proof in terms of verbal, visual, and algebraic representations of mathematical concepts. We conducted task-based interviews based on geometric locus problems with six undergraduate mathematics teachers while they were working in pairs. We identified…

Descriptors: Persuasive Discourse, Mathematical Logic, Algebra, Public Colleges

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

Cullen, Amanda L.; Tobias, Jennifer M.; Safak, Elif; Kirwan, J. Vince; Wessman-Enzinger, Nicole M.; Wickstrom, Megan H.; Baek, Jae M. – International Journal for Mathematics Teaching and Learning, 2017

Previous research on preservice teachers' understanding of fractions and algebra has focused on one or the other. To extend this research, we examined 85 undergraduate elementary education majors and middle school mathematics education majors' solutions and solution paths (i.e., the ways or methods in which preservice teachers solve word problems)…

Descriptors: Preservice Teachers, Student Teacher Attitudes, Undergraduate Students, Elementary School Teachers

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

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

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

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

Coppola, Cristina; Mollo, Monica; Pacelli, Tiziana – International Journal for Mathematics Teaching and Learning, 2011

In this paper we explore the relationship between language and developmental processes of logical tools through the analysis at different levels of some "linguistic-manipulative" activities in a primary school classroom. We believe that this kind of activities can spur in the children a reflection and a change in their language…

Descriptors: Foreign Countries, Child Development, Elementary Education, Grade 4