The current study compared the rate at which problem-based practice increased the use of retrieval-based strategies for students identified as displaying accurate min-counting with students identified as displaying almost proficient performance. The findings supported the prediction that the rate at which problem-based practice promoted retrieval…

In this study, we examined students' mathematical understanding and retention in a problem-based learning (PBL) classroom. The participants were 48 Grade 10 students, and the data were collected in December of 2016. After the end of the PBL lessons, the Mathematical Understanding of Function Test (MUFT) and the Retention Test (RT) were…

This study aimed to investigate self-beliefs of 11th grade students in a mathematics PBL classroom (n = 47). The data were collected over a period of five weeks during the second semester of the 2018 academic year using students' self-construal questionnaires, students' self-efficacy questionnaires, students' observation forms, students'…

This study aims to investigate 10th grade students' agency and authority in a mathematics problem-based learning (PBL) classroom. The participants were 40 Grade 10 students. The data were collected during January-February of 2019 from twelve PBL lesson plans, Agency and Authority Observation Forms, Teacher's Notes, Students' Reflections and…

In this study, we explored the critical thinking of 47 eleventh-grade students in a mathematics problem-based learning (PBL) classroom in November 2016. A critical thinking test was used along with classroom observations to gather the critical thinking data in five dimensions according to the Association of American Colleges & Universities…

This paper reports the findings of research into an educational intervention featuring open-ended mathematical problems situated in "real life" contexts and associated pedagogies. "Money and financial mathematics" is the topic in focus, with tasks termed "financial dilemmas" being trialled by 35 teachers in 16…

'Out-of-field teaching' refers to the practice of assigning teachers to teach subjects that do not match their training or education -- an international phenomenon that seems particularly prevalent in mathematics. This paper reports on a study evaluating the impact of a national professional learning program for out-of-field secondary mathematics…

We proposed to study self-regulated learning (SRL) of 11th grade students in a PBL classroom (n = 36). The data were collected in November 2016 using Students' Self-Regulation Strategy Inventory (Students' SRSI), Teachers' Self-Regulation Strategy Inventory (Teachers' SRSI), students' interviews forms, students' reflections, and the teachers'…

This paper seeks to compare the reflective writings of two cohorts of students (Year 4/5 and Year 8/9) participating in mathematical modelling challenges. Whilst the reflections of the younger cohort were results oriented, the older cohort's reflections spoke more to the affective domain, group processes, the use of technology and the acquisition…