This research aimed to investigate studies examining mathematics textbooks in depth. To this end, specific keywords and criteria were entered into Google's advanced search engine and the Council of Higher Education national thesis center to obtain articles and theses related to mathematics textbooks. The research investigated a total of 114…

This article contributes a deeper understanding of teachers' experiences with and beliefs about teaching mathematics for social justice in urban schools. In-depth, phenomenological interviews were conducted with a national sample of 15 secondary mathematics teachers from eight cities across the United States. Findings identify five overarching…

In order to interpret students' attitudes about mathematics, Vesife Hatisaru asks: What do students find necessary or useful in learning mathematics? And what are the connections between their perceived needs for mathematics and their attitudes, views and feelings about mathematics? In this article, she provides evidence on these critical issues…

Current international curriculum frameworks and research advocate for K-12 mathematics to emphasize proof and argumentation. This review synthesizes literature related to conceptions, content, and supportive actions for proof and argumentation across four grade-level bands: K-2, 3-5, 6-8, and 9-12. Our systematic search and subsequent screening…

This study aimed to develop Mathematics learning media in the form of learning videos in order to enhance the reasoning abilities of students of Mathematics Education Study Program.. This study used the development model to construct products in the form of learning videos on topics like Surface Area of Cuboid, Cube, Prism and Pyramid. To achieve…

We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…

This paper reports on combining semiotic and discursive approaches to reification in classroom interactions. It focuses on the discursive characteristics and semiotic processes involved in the teaching and learning of square roots in a ninth grade classroom in Japan. The purpose of this study is to characterize the development of mathematical…

The radius of curvature formula is usually introduced in a university calculus course. Its proof is not included in most high school calculus courses and even some first-year university calculus courses because many students find the calculus used difficult (see Larson, Hostetler and Edwards, 2007, pp. 870- 872). Fortunately, there is an easier…

This article focuses mainly on two key mathematical processes (representation, and reasoning and proof). Firstly, we observed how teachers learn these processes and subsequently identify what and how to assess learners on the same processes. Secondly, we reviewed one teacher's attempt to facilitate the learning of the processes in his classroom.…

This paper highlights the importance of developing a good understanding of the topic of function. Topic of function becomes a building block for students to understand many more complex topics of mathematics. Specifically, this study aimed to investigate the relationship of students' level of understanding between function and quadratic functions.…

One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…

Students learn mathematics by solving problems. Mathematics textbooks are full of problems, and mathematics teachers use these problems to test students' understanding of mathematical concepts. This paper discusses how problem-solving skills can be fostered with a geometric tiling problem.

The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past…

In this article we address the Common Core State Standard for Mathematical Practice: Attend to Precision. We describe work in mathematics content courses for pre-service and inservice teachers focused on developing teachers' understanding of mathematical definitions. We discuss teachers' work in developing definitions for students at various…

Today it is critical to excite young people about mathematics in our high-tech STEM world we live in. Math teachers today need to embolden students to be confident in their ability to solve problems, to think and use their imaginations, to understand mathematical concepts, to be creative, and to see math as a human endeavor. The author feels that…