Based on expectancy-value theory, this study adopted a person-centred approach to explore the heterogeneous profiles of secondary German and Taiwanese students' mathematical modelling task values, and examined the differences in their mathematical modelling performance, controlling for the variable of intra-mathematical knowledge among the…

How can we use math to understand--and solve--challenges in our world? In "What We Do When Fairness Fails Us," Moises, Marissa, and Astrud realize that a specialized high school uses a lottery for admission that prevents many qualified students from attending. As they research how lotteries work, they come across videos by Federico…

Learning mathematics is as much about developing relationships with mathematics as the development of mathematics concepts and skills. Mathematics clubs usually support learners to develop relationships with mathematics through engaging with challenging mathematics problems, exploring mathematical ideas, and communicating and sharing their ideas.…

This study investigated how motivational orientations and learning strategies predict ninth graders' non-routine mathematical problem-solving anxiety. Non-routine mathematical problem-solving anxiety classification and prediction were investigated through TwoStep cluster analysis, linear discriminant analysis, and logistic regression. 274 ninth…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

Previous research has documented reliable effects of teachers' judgments or expectations, respectively, on their students' school performance. However, the importance of those effects has been controversially discussed because of their limited effect size. The impact of teacher judgments on students' lives might have been underestimated due to a…

The paper investigates how the order of numerical data in word problems on division of a whole into unequal parts affects achievement and reasoning of 14-16-year old pupils. The variable was altered in two word problems, in one of which also the context was changed (psychological variable) and in the latter "if-clause" is or is not used…

Textbook content has the ability to influence mathematical learning. This study compares how linear functions are presented in two textbooks, one of South African and the other of German origin. These two textbooks are used in different language-based streams in a school in Gauteng, South Africa. A qualitative content analysis on how the topic of…

The purpose of this study was to investigate gender differences in students' mathematics achievement and in their attitudes toward mathematics. Another purpose was to examine mathematics teachers' beliefs and their perceptions of their male and female students' ability. The sample consisted of 692 students (353 girls, 339 boys) between the ages of…

The heterogeneity in the developmental trajectories of math motivational beliefs (i.e., expectancies for success and subjective task value beliefs) was examined among Asian and Latinx male and female students from Southern California across Grades 8 through 10 (n = 2,710; 50% female; 85% Latinx; 15% Asian; M[subscript age] = 13.77). By conducting…

Mathematics self-schemas are students' cognitive generalisations of their selves in learning mathematics (Ng in "Educational Psychology," 34(6), 730-762, 2014). These salient subject-based self-conceptions are conceptualised as a cognitive frame guiding students' coping responses when dealing with challenging mathematics tasks. In study…

Problem-based learning (PBL) has the potential to enhance both cognitive and affective engagement but has been criticised for being unsuitable for learners with low levels of knowledge and skills, such as South African learners from poor backgrounds. In such cases, guided problem-based learning (GPBL), which includes direct instruction and teacher…

This study introduces an effective intuitive rule focusing on "tending to the midpoint" in individuals' mathematical thinking. The rule concerns the intuitive tendency towards choosing the midpoint of a change, as a salient point among all the points. To test the proposed rule, 120 students in grade 9 were interviewed. We analyzed the…

Gendered barriers in education and attrition along the academic and professional pipeline are key determinants of the current STEM skills shortage. While enrolment in STEM undergraduate courses has been increasing in the recent decades, STEM degree choices still suffer from considerable gender imbalance, whereby women are underrepresented in…

This study came to characterize the features of mathematical models built by mathematics pre-service teachers for a model eliciting activity. Fourteen groups participated in building the models. We used a combination of deductive and inductive content analysis to characterize the pre-service teachers' elicited models, taking into account features…