An important goal in school algebra is to help students notice the covariational nature of functional relationships, how the values of variables change in relation to each other. This study explored 102 Year 7 (12 to 13-year-old) students' covariational reasoning with their constructed graphs for figural growing patterns they had generalised. A…

Analyzing and interpreting student thinking through written work is a key, often challenging, practice of teaching. It entails noticing students' mathematical thinking and drawing on mathematical knowledge for teaching. This study investigates how pre-service secondary teachers at the beginning of their preparation reason about students' written…

Algebraic competence is a major determinant of college access and career prospects, and equal sign knowledge is taken to be foundational to algebra knowledge. However, few studies have documented a causal effect of early equal sign knowledge on later algebra skill. This study assessed whether second-grade students' equal sign knowledge…

A complex web of factors can influence whether students participate in computer science (CS) during high school. In order to increase participation in CS for all students, there is a need to better understand who is currently participating and what factors might be hindering participation. This study utilized a large-scale, student-level dataset…

This qualitative action research study explored how students perceive feedback in mathematics classrooms and the ways in which a teacher used student self-efficacy and mathematical competence to inform how they provided feedback to Algebra students. Students were categorized as Self-regulated, Cautious, Reluctant, or Overconfident Learners…

This article highlights how the Mathematics Teaching Practice of "facilitating meaningful mathematical discourse" (NCTM 2014, p. 10) was used to support a class of eighth-grade students as they engaged in recognizing patterns in which inputs are related to an output. As Carpenter, Franke, and Levi (2003) recommended, the authors chose…

In this article, we describe a collaboratively developed information literacy curriculum that was embedded into three core 8th grade subjects: Algebra, American History, and English Language Arts. The curriculum was rooted in the concept of generalist literacy and supported students as they developed their curiosity, skepticism, commitment to…

Educational technology designs in developing countries mostly focus on making knowledge resources widely available, through MOOCs, repositories and computer-based tutoring. The use of digital media for cognitive augmentation, particularly interactive designs that help learners understand modelling topics in STEM, is underexplored. We report a…

An increasing number of students are "hyper-accelerating" their study of formal Algebra I to Grade 7 or earlier to maintain a competitive edge in the race to calculus. However, there is a lack of evidence that these students construct the conceptual foundations necessary for persistence in advanced mathematics. This paper maps the drive…

It is imperative teachers use evidence-based practices to instruct all learners. Yet, there are limited reviews focused on educational practices to support secondary students with learning disabilities in algebra. This evidence-based systematic review focused on research published in peer review journals between 1999 and 2019. Eighteen studies…

The most influential books on geometry are those of Euclid called "Elements". In our century, in addition to classical learning, various interactive software are used in teaching geometry. Among them, we can mention GeoGebra. GeoGebra is an interactive math measurement program that consists of teaching and learning from elementary to…

Reasoning is handled as a basic process skill in mathematics teaching. When the literature was examined, it was seen that many types of reasoning related to mathematics education were mentioned. In the present study, it was focused on visual reasoning, which is one of the types of reasoning and also used in different research areas. The purpose of…

This study examined changes in beliefs and confidence of 24 pre-service mathematics teachers after they participated in professional learning in an algebra pedagogy course, which addressed an under-researched area about their domain-specific beliefs in teaching algebra. A single-group pretest-posttest design was adopted. Quantitative data were…

In this study, it was aimed to examine 9th grade students' multiple representation translate skills in algebra learning area and the relationship between these representations translate skills. The study employs survey design. Selected through purposive sampling method, 637 ninth grade students in a socio-economically medium level province in…

Proportional reasoning problems can be solved using algebraic reasoning. Therefore, making connections between proportional reasoning and algebraic thinking is important for solving problems. This study examined K-8 teachers' problem-solving strategies as they worked out a real world multi-step problem that involved proportional reasoning and…