The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in…

This article uses parts of qualitative data from the first author's study that focused on exploring Pirie and Kieren's process of "folding back," revisiting previously held understandings of a concept for its extended understanding in order to solve the problem of enhancing Grade 10 learners' reasoning in geometry. In South Africa,…

Cooperative learning model played a dynamic role in improving students' achievement in mathematics. The purpose of this research study was to compare the effects of three instructional methods on students' mathematics achievement and attitudes toward mathematics among secondary students in Natore, Bangladesh. These instructional methods were used…

The study investigated learners' mathematical discourse on the hyperbola from a commognitive perspective, and focused on algebraic, graphic, and numeric representations of the hyperbola. Task-based interviews were conducted with five Grade 10 learners from a township school. Learners' mathematical discourse was analysed by means of the Discourse…

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

Studying mathematics is an essential condition for acquiring an education in most fields such as all exact sciences, financial sphere, programming, etc. It enables students to choose from among a large variety of professions with significantly high chances of academic admission, mainly in fields such as engineering, natural sciences, and…

Introduction: Knowing how to gather information from graphics and to use that information to solve mathematics problems is an important skill. Prior research indicates that many students with visual impairments face considerable challenges when attempting to locate information in math graphics. Little is known about how teachers of students with…

We believe that professional mathematicians who teach undergraduate mathematics courses to prospective teachers play an important role in the education of secondary school mathematics teachers. Thus, we explored the views of research mathematicians on the mathematics that should be taught to prospective mathematics teachers, on how the courses…

The purpose of the present study is to examine the impact of parental socioeconomic status on pupils' achievement in secondary school Mathematics. The population of the study consists of class nine students studying in different secondary and higher secondary schools of Karbi Anglong district of Assam state in India. 900 students of 30 different…

Shifting classrooms towards places where students' ideas are at the centre of the discussions has been challenging for teachers to put into practice (Hiebert & Wearne, 2003). This study explores the attempts I made as a researcher-teacher to promote equitable student-driven whole class discussions in a racially and socioeconomically diverse…

We have extended two perspectives of proportional reasoning to solve problems based in probability. Four future middle grade teachers were enrolled in a mathematics content course that emphasized reasoning about multiplication with quantities. The course expected future teachers to generate and explain methods for solving proportions. Probability…

The traditional technique for converting repeating decimals to common fractions can be found in nearly every algebra textbook that has been published, as well as in many precalculus texts. However, students generally encounter repeating decimal numerals earlier than high school when they study rational numbers in prealgebra classes. Therefore, how…

In Australia, many Year 10 students choose not to enrol in Year 11 and 12 intermediate and advanced mathematics courses, despite having the ability to complete these courses successfully. Girls, in particular, remain significantly underrepresented in such courses. In this study, Year 10 students identified by their teachers as capable of…

Mixed-attainment mathematics teaching is not a common practice in England, despite evidence that ability grouping is not an effective strategy for improving educational outcomes. This study compares mathematics in School M (mixed-ability groupings) and School S (sets) in relation to student beliefs, and teacher beliefs and practices. Questionnaire…

A crucial step in improving the use of digital technology (DT) for learning mathematical concepts in the classroom appears to be increasing teacher involvement in task development. Hence, this research considered the effect of a professional development (PD) programme designed to assist teachers with DT task production for implementation in their…