Integer operations are typically introduced in sixth grade, but they are a consistent area of struggle among these students. This struggle also inhibits their understanding of algebraic computations involving positive and negative terms. In this article, the author provides introductory tasks and models for adding and subtracting integers that can…

Co-design approaches have roots in participatory research design methodologies, amplifying participants' experiences, cultures, and beliefs by co-designing or co-creating an artifact or activity for and with other people. Little research has incorporated Spanish-speaking Latine families in co-designing early math tools and resources. Therefore,…

The lesson described in this article was developed and taught by a team of mathematics educators and physical therapists, with the shared goal of broadening students' perception of how mathematics concepts are applied in the real world. This lesson gives students authentic experience with the Gait Speed Test as a physical therapist would…

Our bodies help us learn, and our bodies may know something before we can articulate it. Embodied explorations are body-based learning experiences where learners have opportunities to make sense of and convey ideas with their bodies. These embodied explorations were taught at a suburban public high school, in the southern United States, that…

This study focuses on connections between linear functions and their graphs that were made by tertiary remedial algebra students. In particular, we describe students' work on a Task designed to examine the connection between points on a graph and the equation of a line. The data consist of 63 responses to a written questionnaire and individual…

There has been a notable number of respectable studies in mathematical creativity and its promotion in education with K-12 pupils. Nonetheless, when it comes to mathematics education in higher education, there is not a wide variety of studies. One can observe that the mathematics content in higher education is completely different from the K-12…

Research indicates that investigating phenomena, rather than reproducing facts, should be a core experience in the education of prospective mathematics teachers. Corresponding with its centrality to quality teacher education, there are multiple existing methodologies for analyzing the effects of investigation tasks on teachers' mathematical…

Grades K-12 institutions in the United States continue to have a more culturally, linguistically, and racially diverse student population, with Hispanic and Asian students increasing in record numbers (United States Census Bureau, 2023). As a result, K-12 mathematics teachers are expected more than ever to design, select, and implement…

Research and practice are increasingly examining the role students' mathematical sense of belonging plays in their mathematics achievement, participation, and persistence (Kebreab et al., 2023, Kebreab et al., 2024). As mathematics education leaders in national and regional non-profit organizations, the authors are especially interested in the…

Proofs as epistemic tools are central to mathematical practice, as they establish and provide explanations for the validity of mathematical statements. Considering the challenge that proof construction poses to learners of all ages, prior research has investigated its cognitive determinants, but the impact of affective-motivational experiences on…

Due to the nature of RME, which sees mathematics as a human activity, there is never a fixed and complete theory for mathematics education. Therefore, it is seen as an approach that still needs to be developed. The aim of this research is to analyze the RME (Realistic Mathematics Education) activities prepared by the pre-service primary school…

A primary goal of ethnomodeling is to value, sustain, and in some instances introduce cultural practices and traditions that have often been lost or overshadowed because of an emphasis on modern methods (Orey & Rosa, 2010). Through an ethnomodeling task focusing on geometric transformations, the authors share a Model It! activity to engage…

This short article continues the exploration of the Common Online Data Analysis Platform (CODAP) and statistics begun in the previous article "Statistical Investigations and CODAP, Part 1: EDA." In Part 2, the author discusses the teaching of statistical inference focusing on activities for the senior secondary years. In particular, the…

We present a complete, soup to nuts, modeling activity of a falling column of water. Many colleagues have used this material in teaching applications of first order separable differential equations. We describe how the material can be presented with students collecting their own data from online videos. One can then either offer the differential…

An important approach for developing children's algebraic thinking involves introducing them to generalized arithmetic at the time they are learning arithmetic. Our aim in this study was to investigate children's attention to and expression of generality with the subtraction-compensation property, as evidence of a type of algebraic thinking known…