Develop your students' grade-level mathematical reasoning and problem-solving skills. Discover how your collaborative team can ensure all students learn grade-level mathematics during Tier 1 and Tier 2 instruction. This valuable guide provides preK-12 teachers with ready-to-use tools and strategies to help students communicate using mathematical…

Opportunities to learn related to the use of quantitative reasoning to solve higher-order real-world applications that reflect the messy nature of the world are scarce and vary across countries. Those experiences are essential to the development of quantitative literacy. This literacy, like that related to language, is critical for all children.…

In the last decade, researchers have focused more on how to provide instructional supports for mathematics writing (Powell et al., 2017). In this synthesis, we examined 22 studies about mathematics writing to determine the overall mathematics-writing and mathematics outcomes of mathematics-writing instruction, the mathematics-writing and…

Using picture books in teaching is a popular trend in early childhood education. However, little attention has been paid to such pedagogy in mathematics learning. For this article, we reviewed 16 empirical studies from the past two decades (2000-2022) regarding the use of picture books in mathematics instruction, in order to investigate their…

The purpose of this paper was to examine current mathematics interventions designed for students in kindergarten through eighth grade to determine how often they incorporated the five strands of mathematical proficiency identified by the National Research Council (2001). The five strands are conceptual understanding, procedural knowledge,…

The current study was conducted to investigate the relationship between math anxiety and math achievement, highlighting differences in motivation based on age, and the mediating effects of task persistence as well as aspects of the expectancy-value theory. The students in the study (grade five N = 335, grade eight N = 251) were from Estonian…

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

This study reviewed papers in the Web of Science database from 2010 to 2020, which were relevant to the integration of the dynamic geometric software, GeoGebra, into mathematics education with a focus on publication trends, research methods, participants, application domains, learning strategies, and research issues. It was found that there have…

Big Ideas can be seen as overarching concepts that occur in various mathematical topics and strands within a syllabus. Within our project on Big Ideas in School Mathematics, we developed instruments to measure two Big Ideas: Equivalence and Proportionality. The instruments we developed seek to assess students' ability to see these Big Ideas as…

The current meta-analysis quantifies the average effect of worked examples on mathematics performance from elementary grades to postsecondary settings and to assess what moderates this effect. Though thousands of worked examples studies have been conducted to date, a corresponding meta-analysis has yet to be published. Exclusionary coding was…

The National Academy of Education (NAEd) Civic Reasoning and Discourse project aims to support civic reasoning and discourse in the schools by helping teachers across disciplines to prepare youth in the United States to examine and discuss complex issues in ways that are thoughtful, developmentally appropriate, and respectful of others' opinions…

The design of the flipped classroom (FC) as a pedagogical approach is becoming increasingly prevalent in mathematics education. However, although many studies have been conducted on whether FCs are more effective in improving mathematics achievement compared to traditional lectures, the results are not consistent. To address this issue, this…

This study investigated how Japanese curricula represent functional relationships through the lenses of quantitative and covariational reasoning. Utilizing both macro and micro textbook analyses, we examined the tasks, questions, and representations in the Japanese elementary and lower secondary course of study, teachers' guide, and textbooks.…

The paper presents an analysis of elementary grade mathematics teaching in India focusing on mathematical reasoning. Mathematical reasoning is an important tool to make sense of mathematical ideas, which in turn makes mathematics more accessible to learners and promotes social equality. The paper analyzes 112 lessons from Grades 1 to 8 by 21…