"Math Expressions" is a curriculum for students in prekindergarten through sixth grade that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such…

"Math Expressions" is a curriculum for students in prekindergarten through sixth grade that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such…

Teachers in kindergarten, primary, and secondary schools use hands-on manipulatives to help students grasp concepts in areas such as numbers, operations, geometry, algebra, measurement, data analysis, and probability. These manipulatives and interactive games are essential for fostering mathematical understanding, enabling students to build,…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

Mathematics and technology serve the health sciences as demonstrated in this article, cowritten by one of our calculus students. Creating a lesson based on dosing an antibiotic allows teachers and students to see the immediate value of high school calculus and technology.

This paper focuses on difficulties that primary school students have in facing mathematical word problems. In particular, we are interested in exploring how they develop in the transition from grade 2 to grade 5. The research basis of the hypothesis is that some difficulties detected in grade 5 are already predictable in grade 2. Starting from the…

In this work we will analyze the relation between registers of representation and the construction of the fraction concept. Ninety-six students from first year of compulsory secondary education participated in the study, and performed equal share tasks in the context of Egyptian fractions (unit fractions with different denominators). The aim was…

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…

During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…

Students lacking automaticity of multiplication facts puts them at a disadvantage when learning fifth grade mathematics standards. If students need to use a multiplication chart, or use tally marks, or repeated addition to solve multiplication problems, they struggle to move forward with standards, which involve exponents, fractions, area, and…

Research has shown that the ways in which teachers engage in professional development activities vary widely. identified three levels of teacher appropriation within professional development, with their inquiry stance indicative of teachers engaging in self-sustaining practices. In our project, we modified the demonstration lesson format so that…

Educators need collaborative opportunities to renew their love of learning, not just to review data and rework lessons. Researcher Ian Parker Renga and coauthors examine the power of Math Teachers' Circles--a group of educators that get together to play math games and solve problems just for the joy of it.

This study analyzed the research status of mathematical problem posing in thirteen major mathematics education journals from each journal's earliest publication year the study could access to the year of 2018 or 2019, among which 49 years long was the longest and 14 years long was the shortest. After a systematic and comprehensive review of all…

Information and the information revolution have brought many changes to our lives. The most revolutionary is the unlimited access of most people to an incredible amount of information. Today we no longer must "keep important information and facts in our heads". With the right technology, we are always within reach. The new age also…

"Productive Struggle" refers to a strategy that gives students an opportunity to increase their background mathematical knowledge. Productive Struggle helps students connect key concepts, determine how and where an error occurs, and supports students in figuring out how to use their own thinking and reasoning skills to correct an error.…