This study examined the shared beliefs among mathematics teachers in one secondary school in the United Kingdom across the first term of a school year and almost 4 years subsequently. Leximancer software was used to analyse the language used as teachers responded to questions concerning their beliefs about mathematics, mathematics teaching,…

The aim of this study is to identify how prospective teachers see mathematicians by the pictures they visualized. In accordance with this purpose phenomenology pattern which is one of the qualitative patterns was used. The study was carried out with 160 volunteered prospective teachers. The data collection tool to be used in this study consists of…

Using a sample of 310 Year 10 Chinese students from Hong Kong, this survey study examined the effects of multiple goals in learning mathematics. Independent variables were mastery, performance-approach, performance-avoidance, and pro-social goals. Dependent variables included perceived classroom goal structures, teacher's support, learning motives…

The authors examined the relationships among teacher classroom practices, student motivation, and mathematics achievement in high school. The data for this study was drawn from the base-year data of High School Longitudinal Study of 2009. Structural equation modeling method was used to estimate the relationships among variables. The results…

Mathematical modeling has been highlighted recently as Common Core State Standards for Mathematics (CCSSM) included Model with Mathematics as one of the Standards for Mathematical Practices (SMP) and a modeling strand in the high school standards. This common aspect of standards across most states in the United States intended by CCSSM authors and…

Mathematical modeling has taken on increasing curricular importance in the past decade due in no small measure to the Common Core State Standards in Mathematics (CCSSM) identifying modeling as one of the Standards for Mathematical Practice (SMP 4, CCSSI 2010, p. 7). Although researchers have worked on mathematical modeling (Lesh and Doerr 2003;…

In this paper, we present findings from a preliminary analysis of transcript data in the High School Longitudinal Study (HSLS:09), a large-scale longitudinal investigation of academic achievement among U.S. high school students. Using proportional flow diagrams of course-taking patterns, we illustrate differences in calculus completion associated…

Geometrical concepts play a crucial role in developing spatial thinking and reasoning. Further, curricular materials play a key role in shaping student-learning experiences in the classroom. The organisation of the content of textbooks plays a decisive role in how and when students are introduced to concepts, especially given the…

Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Mathematics is a key subject necessary to the promotion of economic development, particularly in developing countries; however, South African learners perform poorly in Mathematics when benchmarked against their counterparts in other countries. One way to address this issue is by taking cognisance of the learners' learning styles when teaching.…

Teachers' situated knowledge of the classroom and teaching suggests that they can play an important role in promoting and supporting change in teaching practice even if they are not formally designated as leaders. We selected 32 secondary mathematics and science teachers and supported them in enriching their instructional practice and in becoming…

This chapter is a case study examining the symbiotic relationship among an Arts and Sciences mathematics department, a school of education, and a large urban public school district, as a context for the development of pedagogical content knowledge in the curriculum. Specifically, Hunter College, CUNY, has a long-standing master's program in…

Students' post-school options are limited if they have not completed mathematics subjects involving the study of calculus. This paper employs a sociocultural approach to identify institutional practices that might promote sustained engagement with these subjects among students from disadvantaged backgrounds. Drawing on interviews with mathematics…

This study examined the effects of the Local Systemic Change Through Teacher Enhancement Initiative (LSC) on 1,596 in-service high school mathematics teachers' knowledge. Because data are clustered by schools, a hierarchical linear model was calculated. It was found that five of the characteristics of the professional development, time to reflect,…