Few high school students associate mathematics with playfulness. In this paper, we offer a series of lessons focused on the underlying algebraic structures of the Rubik's Cube. The Rubik's Cube offers students an interesting space to enjoy the playful side of mathematics, while appreciating mathematics otherwise lost in routine experiences.

In this article, the authors share how gameplay with dominoes can leverage students' quantitative reasoning to promote number development and additive reasoning. This article explores three domino games (Basic Dominoes, Just Before/Just After, and Ten Train), and considers the following: (1) rules and details; (2) students' subitizing and unit…

This paper focuses on problem solving and problem posing in mathematics education with 6-year-olds. After working on a problem-solving activity, the young students were asked to pose a "similar" task to a friend. This article explores how the students interpret the notion of "similar." To be able to pose a problem-solving task…

In this paper we present the results of an investigation related to the developing of mathematical knowledge and skills by first semester university students when solving a Model Eliciting Activity [MEA] which involves quadratic function knowledge. This was a qualitative research. The theoretical framework was Models and Modeling Perspective…

After being introduced to "ambitious" teaching methods during teacher education, only some beginning teachers attempt to enact those methods, as others gravitate toward the conventional practices that overwhelm K-12 settings. To learn more about why, I conducted a multiple-case study of four beginning secondary mathematics teachers who…

The main purpose of this study was to test the effects of word-problem (WP) intervention, with versus without embedded language comprehension (LC) instruction, on at-risk 1st graders' WP performance. We also isolated the need for a structured approach to WP intervention and tested the efficacy of schema-based instruction at 1st grade. Children (n…

The aim of this study is to examine the semantic structures used by mathematics teacher candidates to transform algebraic expressions into verbal problems. The research is a descriptive study in the survey model, which is one of the quantitative research types. The study group of the research consists of 165 teacher candidates studying in the…

This study aims to reveal the similarities and differences in the secondary mathematics curricula (SMC) of Turkey, Estonia, Canada, and Singapore during the 2018-2019 academic years by comparing them in terms of the curriculum components. In this context, the horizontal approach technique, one of the comparative education approaches, was used in…

This study analyzed the Trends in International Mathematics and Science Study 2011 data on fourth-grade U.S. students' mathematics performance to answer four research questions: (a) How did U.S. students' geometry performance compare with their performance on the other mathematics subscales? (b) What were the patterns of student achievement among…

The aim of this study was to investigate the faculty members' and the middle school mathematics teachers' perspectives regarding the use of the history of mathematics in the learning-teaching process of mathematics. As a phenomenological study, the qualitative data were collected through semi-structured interviews from 27 middle school mathematics…

Choosing the right strategy is an important condition to successfully solve math problems. Research studies often present individual types of strategies more or less separately. This study aims to determine student solutions of selected word problems in the whole context of the solution process. In this context, such nonstandard word problems…

Purpose: "Good thinking" has become very important in today's world. A good thinker should have critical thinking skills as well as critical thinking virtues. Some researchers stated that teaching critical thinking within certain disciplines and subject areas would significantly contribute to the development of students as strong…

Two mathematics teacher educators (MTEs) discuss the mathematical contexts generated by prospective teachers (PTs) when pushed to look for relevant mathematics in their lives and communities. Through collaborative teacher action research focused on iterations of collecting, categorizing, and discussing PTs' mathematical contexts, and posing…

In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that…

In this instrumental case study, we examined the ways in which one mathematician's instruction unfolded during his participation in a faculty collaboration geared towards reforming instruction. In the study, we offer the case as both the participant's collaborative experience in an online faculty collaboration and his implementation of an inquiry…