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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

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

Zeybek, Zulfiye – International Journal for Mathematics Teaching and Learning, 2016

This study aimed to document pre-service elementary teachers' (PSTs'), who are going to teach K-5, ability to construct as well as evaluate justifications varied in terms of levels of sophistication. Additionally, this study aimed to investigate how PSTs' knowledge of content in which they were being asked to prove influenced their ability to…

Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Skills, Mathematical Logic

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

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

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