Reform movements in mathematics education advocate that mathematical argumentation play a central role in all classrooms. However, research shows that mathematics teachers at all grade level find it challenging to support argumentation in mathematics classrooms. This study examines the role of teachers' mathematical knowledge in teachers' support…

Determining the effectiveness of core mathematics curricula is foundational to evidence-based practice. Examining effectiveness heterogeneity is also crucial to better understanding mathematics achievement among English language learners (ELLs). In this study, we used a quasi-experimental design (difference-in-differences) to examine the impact of…

Physical models for exploring multiplication are fixtures in elementary classrooms. The most widely used physical models of multiplication are collections of discrete things, such as Cuisenaire rods, Unifix Cubes, or Base-10 Blocks. But discrete physical models are limited in the products they can represent. By contrast, pictorial models, such as…

The purpose of this paper is to describe some contingent moments during an in-service primary teacher's lesson on area, to analyse the teacher's responses, and to examine the relationship between the teacher's mathematical knowledge in teaching and her responses to these contingent moments. The teacher, in a public primary school located in…

The aim of the current study is to investigate the effects of digital teaching materials on 4th graders' academic achievement on fractions subject and attitudes towards mathematics and computers. The study was planned with a pretest and posttest control group design. The participants of the study were 60 students studying in a public elementary…

Investigating symmetric dot patterns provides opportunities for foundational mathematical learning that is not restricted to multiplication alone. Students have opportunities to learn about the properties of symmetry, about the generalization of patterns, about writing and interpreting equations--all areas of study in grades 3-5. And symmetric dot…

Discipline-specific instructional improvement policies require teachers to implement new teaching and collaborative practices. What kinds of leadership moves do principals make to support enactment of new practices? Drawing on leadership theories to examine principals' leadership actions, data come from a qualitative study of three elementary…

An effective instructional approach in elementary mathematics education has a significant role in the understanding of mathematical concepts and overall student achievement. We point out the characteristics, significance and effects that may be achieved in mathematics education through the application of project-based learning. The aim of the…

The art of teaching and learning mathematics is rooted in the discourse that takes place between the teacher and students and among students. This discourse creates understanding, recognition of confusion, and corrections that lead to forward progress in learning. However, the type of discourse that occurs in mathematics today differs greatly from…

The current sociopolitical context of the United States has created a divide among the nation which has transpired into Kindergarten-12th grade public school settings. Throughout the United States school boards of education have banned books and Critical Race Theory while attacking social justice teaching pedagogies. Presently, there is growing…

Purpose: This article aims to investigate the impact of the Lesson Study (LS) model on students' mathematics achievement and attitudes toward mathematics. Design/methodology/approach: The study employs a concurrent embedded design, a type of mixed methods design. Within this framework, a quantitative pretest-posttest control group…

Typically, vocabulary instruction is associated as part of reading instruction. However, vocabulary instruction is also a necessary component of mathematics instruction. In fact, state and national standards (e.g., Common Core State Standards) require elementary students to communicate about mathematics to provide clear explanations, construct…

The paper presents findings from a study that examined, through the lens of the Image Having layer of the Pirie-Kieren model, the qualitative characteristics of the images that different children formed when engaging with eight, novel partitive quotient tasks. The Image Having layer is the first point of abstraction within the Pirie-Kieren model.…

This study identifies characteristics of polygon class learning opportunities for 8-9-year-old children during the whole-class instruction. We consider the interplay between the geometrical tasks demanding different ways of reasoning, features of children's geometrical thinking, and the teacher's moves to identify characteristics of learning…

The aim of this study is to investigate Norwegian primary school students' multimodal mathematical reasoning when solving combinatorial problems. The data collection took place in four small groups of altogether thirteen 8-9 years old third-graders. Our study shows a variety of approaches used to solve the given combinatorial problems, such as…