Achieving proficiency in fundamental differential calculus concepts remains a persistent challenge for grade 12 students, raising concerns among mathematics teachers and policymakers. Despite the widely acknowledged applications of differential calculus across diverse disciplines, global examination diagnostic reports consistently highlight…

This case study explored Grade 12 learners' misconceptions in limits of functions. The study aimed at understanding problems that learners face in learning the concepts of limit by analyzing misconceptions that learners have and identifying the possible sources of these misconceptions to take remedial action. An exploratory research design was…

The purpose of this study was to explore selected mathematics students' characteristics and relate these to views students hold about geometry. The mathematics students' characteristics that the researchers focused on related to: their gender, age, the parents they stayed with, the percentage mark they expected in an upcoming test and final year…

In this paper, we present an analysis of student interview data focusing on students' ideas about mathematics and their experiences learning mathematics. We draw on the idea of "personal identity" (Cobb, Gresalfi, & Hodge, 2009) to capture the differences and similarities in students' views of math and themselves as math learners,…

This book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are…

This study explores the attitudes of mathematics pre-service teachers, based on their initial exposure to a model-eliciting challenge. The new Curriculum and Assessment Policy Statement determines that mathematics students should be able to identify, investigate and solve problems via modelling. The unpreparedness of mathematics teachers in…

This study was conducted with the purpose of analyzing high school students' approach to problem solving activities, namely the metacognitive abilities and the strategies they employ. The results show that although students apply basic strategies well, they use a trial-and-error approach, they give-up when faced with difficulties and have…

This research provides an analysis of the relationship between a student's beliefs and mathematical behaviors over a seventeen-year period. Romina, the student of focus in this case study, was among the original participants in a longitudinal study which explored how students build mathematical ideas when working collaboratively on problem-solving…

When solving basic number fact problems (e.g., 4x5=20), students with mathematical learning disabilities (MLDs) make qualitatively different kinds of errors than both typically achieving and low-achieving students. This study explores the origin of these qualitative differences through a detailed analysis of one student with an MLD. Data were…

Reports on an intensive study of problem-solving activity of female students at the senior secondary level. Focuses on both the mathematical processing and the underlying cognitive and metacognitive activities that led to that processing. Concludes that all successful groups displayed a high number of key points where metacognitive decisions could…

This booklet summarizes findings from data on mathematics achievement gathered on the 1992 National Assessment of Educational Progress (NAEP) for grades 4, 8, and 12. Approximately 26,000 4th, 8th, and 12th graders in 1,500 public and private schools participated in the national assessment. Information included in the report are: trends in…

This is the final test for students in the twelfth grade course Mathematics 30, offered in schools in Alberta, Canada. Intended for administration in 1988, it is available in both English and French. It contains 52 multiple-choice questions and 3 written-response problems, with 2.5 hours allowed for completion. Approved calculators may be used.…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during January 1989, it contains 45 multiple-choice questions, seven open-ended scannable questions, and three written-response questions. Two and one-half hours are allowed for completing…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during June 1989, it contains 45 multiple-choice questions, 7 open-ended machine scorable questions, and 3 written-response questions. Two-and-one-half hours are allowed for completing the…

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)