This study uses the overlap sample of about 3,500 students who participated both in the High School Longitudinal Study of 2009 (HSLS:09) and the 2013 Grade 12 National Assessment of Educational Progress (NAEP) mathematics assessment to investigate how mathematics motivation (mathematics identity, mathematics self-efficacy, and mathematics…

This study investigated how integrating social justice issues, STEM practices, and mathematics may support equity in mathematics education. We analyzed video of four lessons focused on inverse trigonometry and disability rights from a STEM project-based geometry class. Using an established observation protocol, we identified themes related to…

Backward transfer is when learning about a new topic influences an individual's prior ways of reasoning about a topic they previously learned about. This study looked at how quadratic functions instruction differentially influenced students' prior ways of reasoning about linear functions. Specifically, we compared students at three levels of…

The present study is an ongoing survey targeting Japanese fifth and ninth grade elementary and junior high school students respectively using the framework of "The Third Wave" international comparative study. The purpose of this research report is to describe the questionnaire survey's results and analyze some similarities and…

The paper considers a teaching experiment carried out with secondary school students (9th grade), who face modelling tasks to approach some basic concepts of algebra and early calculus. The focus is on an embodied analysis of students' cognitive processes. The analysis highlights the use of metaphors as a means of sharing knowledge. (Contains 2…

This paper explores levels of perceived parental influence on mathematics learning among over 700 students in China and Australia. Students in China had stronger perceived parental influences than students in Australia, and while students in China, Chinese speaking students in Australia, and other language speaking students in Australia…

The handling of mistakes in the mathematics classroom is an area in which only little research is done so far. In mathematics education there are, in fact, several investigations about students' mistakes from a diagnostic perspective, but hardly any studies on the question how teachers react in concrete mathematics lessons. In this article…

The increased use of group work in teaching and learning has seen an increased need for knowledge about assessment of group work. This report considers exploratory research where the SOLO Taxonomy, previously used to analyse the quality of individual responses, is applied to group responses. The responses were created as part of an activity…

The aim of this research is to advance understanding of how mathematical knowledge functions in the proving in geometry. We focus on the rules whose mobilization is due rather to the mathematical knowledge at stake than to the proof. We observed students who are asked to solve construction problem and proving problem. The problems require to…

Starting from a situated cognition perspective, this paper reports on the activity of 9th grade students who are interpreting the shape of a graph arising from the motion of a bouncing ball. In an unfamiliar context, informed by previous knowledge of similar experiments, the obstacle of understanding why the graph does not start from the origin is…

Equity and computer use for secondary mathematics learning was the focus of a three year study. In 2003, a survey was administered to a large sample of grade 7-10 students. Some of the survey items were aimed at determining home access to and ownership of computers, and students' attitudes to mathematics, computers, and computer use for…

To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…