Mathematics learning in higher education today focuses on the need to enhance students' diverse creativity through learning process. To address this challenge, this study introduces the Differentiated Instruction based on Lateral Thinking Techniques (D-LTT) framework. It provides an overview of D-LTT, demonstrates its application in a numerical…

This paper examines the phenomenon of homogenization in higher mathematics education from three dimensions: textbooks, teaching methods, and assessment, identifying rigid educational policies, limited resources, and entrenched teacher mindsets as underlying causes. It proposes four reform pathways: differentiated instruction, diverse teaching…

Background/purpose: The teaching of integral calculus has become increasingly important in higher education due to its role in the development of advanced mathematical thinking. In this context, the definite integral is recognised as a complex mathematical object with multiple interpretations. The present article aims to systematically review the…

The ability to think mathematically critically is essential in learning as it helps students to think rationally in making decisions and formulating conclusions, as well as choosing the best option for themselves. In fact, PISA results in 2022 and TIMSS results in 2015 show that students' critical thinking skills are not optimum. Therefore, the…

This paper presents the results of a systematic scoping literature review of higher education mathematics and statistics support (MSS) evaluation focusing on its impact on students. MSS is defined as any additional organised mathematical and/or statistical aid offered to higher education students outside of their regular programme of teaching by…

The use of intelligent tutoring systems (ITSs) is growing rapidly in the field of education. In mathematics, adaptive and personalized scenarios mediated by these systems have been implemented to aid concept comprehension and skill development. This study presents a systematic review on the current status of the use of ITSs in mathematics…

Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…

Tertiary mathematics has a central place in teacher education, yet in recent years there is growing evidence that realizing its potential affordances in secondary mathematics teaching is far from trivial. Research suggests that utilizing tertiary mathematics in secondary teaching requires interweaving it with knowledge for teaching secondary…

Despite the challenges that primary historical sources present for students and instructors alike, engaging students with such sources as part of their mathematical learning experiences is an increasingly common instructional practice. Yet research on teaching and learning with primary sources remains a niche activity. It is thus reasonable to ask…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

Many students who take a mathematics course as part of their post-secondary education are not enrolled in a mathematically-intensive degree program. This poses a challenge to mathematics departments that, for example, value and privilege more traditional mathematics curriculum: should students in such courses be taught differently than those in…

Within the last decade, the National Council of Teachers of Mathematics (NCTM) has made a call to action, asking educators to engage in effective teaching of mathematics which includes having classrooms rich in mathematical discourse (NCTM, 2014). In this nine-week dissertation study, three mathematics graduate student instructors (GSIs) teaching…

A rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…

DE programming in higher education should be designed to increase student success, and well-designed corequisite models have shown great potential as an accelerated option for completion of the first college-level course in math. With the support of a Texas Higher Education Coordinating Board grant, Tarleton State University, a member institution…

The present study came through its topic: The Importance of E-learning in teaching Mathematics to explore the use of students in the educational learning process, I tried to add to the results of previous studies by revealing more the nature of the use of the Internet as well as the nature of e-learning among students. The researcher attempted to…