This paper provides an overview of a programmatic research project, the Enactment Project, at the National Institute of Education in Singapore. The project studies the enactment of school mathematics by competent experienced teachers in secondary schools and also how widespread practices of these competent experienced teachers are in the…

The purpose of this action research study was to determine the impact of a Khan Academy growth mindset lesson plan on the motivation of at-risk ninth grade students in a mathematics classroom. Data were collected for quantitative analysis of students' self-reporting of perceptions pertaining to mindset beliefs before and after a mindset…

This study is correlational research and aims to investigate the relationship between pre-service mathematics teachers' mathematical thinking levels and attitudes for courses in mathematics. We also examined whether gender, reasons for career choice, and academic achievement lead to significant differences in pre-service teachers' attitudes and…

The purpose of this study was to investigate preservice teachers' (PSTs') beliefs about their intentions to integrate information and communication technologies (ICTs) in their future mathematics classrooms. The main research objective was to examine the extent to which PSTs' beliefs predicted their intentions to integrate ICTs in their…

Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching "well posedness" of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a…

The query "When are we ever going to use this?" is easily answered when discussing the slope of a line. The pitch of a roof, the grade of a road, and stair stringers are three applications of slope that are used extensively. The concept of slope, which is introduced fairly early in the mathematics curriculum has hands-on applications…

Jagadguru Shankaracharya Swami Bharati Krishna Tirtha (commonly abbreviated to Bharati Krishna) was a scholar who studied ancient Indian Veda texts and between 1911 and 1918 (vedicmaths.org, n.d.) and wrote a collection of 16 major rules and a number of minor rules which have collectively become known as the "sutras of Vedic…

Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…

This paper presents a group interview study of Swedish upper secondary students' perspectives on the typical mathematics lesson. Students, from four demographically different schools, constructed a collective synthesis of their many years' experience of mathematics classrooms. Transcriptions were subjected to a constant comparison analysis, which…

Technology is becoming an integral tool in the classroom and can make a positive impact on how the students learn. This quantitative comparative research study examined gender-based differences among secondary Advanced Placement (AP) Statistic students comparing Educational Testing Service (ETS) College Board AP Statistic examination scores…

Tertiary institutions are experiencing an increased number of enrolments, with students varying in their demographics, previous education, and academic achievement. This relative increase in undergraduate enrolments in Australia has not translated to an increase in student retention or graduate numbers. This prompts the need to explore predictors…

"University of Chicago School Mathematics Project (UCSMP)" is a core mathematics curriculum that includes materials and a routinized instructional approach with an option for teacher training. The curriculum uses an inquiry-based approach with a focus on active learning where students frequently engage in hands-on activities and…

Stakeholders on Guåhan (Guam) are concerned that many Guåhan public high school graduates may be underprepared for college. In 2018 more than 50 percent of students entering Unibetsedåt Guåhan (University of Guam) and Kulehon Kumunidåt Guåhan (Guam Community College) were placed into developmental math or English courses.1 This study examined…

In this paper, we examine the interactions of mathematical abilities when 6 high achieving Swedish upper-secondary students attempt unfamiliar non-routine mathematical problems. Analyses indicated a repeating cycle in which students typically exploited abilities relating to the ways they orientated themselves with respect to a problem, recalled…

Science competitions, such as the International Biology Olympiad, are non-formal education targeted to upper secondary school students with high abilities. However, there is little knowledge about what is the relevance of training for a science competition. In this study, Finnish Biology Olympiad training participants were researched in the…