The use of scientific calculators in teaching parabola functions has been shown to have significant effect in learner performance. This study examined the effectiveness of scientific calculators' usage in the teaching and learning of Grade 11 parabola functions to improve learner performance. Bandura's observational learning theory underpinned…

This research explores the impact of integrating Reflective Pedagogy within Mathematical Knowledge for Teaching (MKT), framed by the TPACK model, on enhancing mathematics proficiency in Rwandan Teacher Training Colleges (TTCs). The study involved 433 Year 2 TTC students in the Science and Mathematics Education program using a quasi-experimental…

This research arises as a necessity to solve deficiencies in basic mathematics in university students. The objective was to determine the effect on academic achievement when implementing a didactic strategy for learning arithmetic. The study design is pre-experimental with pretest and post-test. The participants of the experiment are freshman year…

Objective: Explicit instructions to students to use the index finger to trace out specified elements of mathematics worked examples have been shown to improve mathematics learning outcomes; however, there is limited research on whether the magnitude of tracing actions impacts these outcomes. Method: Using an experimental design, 34 adults were…

Background: Digital game-based learning is gaining increased attention from both researchers and educators for improving mathematics instruction. However, the evidence for game-based learning is mixed and research with rigorous research design and analyses are limited. Objective: Here, in a pre-registered randomized controlled study, we…

In this study, the effect of educational games, which are included in the alternative learning activities prepared by the researchers, on the learning environment will be investigated. In other words, the effect of educational games on the elimination of difficulties experienced by students in reading and writing natural numbers and the formation…

This paper outlines the development and implementation of a ten-week micro-curriculum, "Booked on Math," designed to introduce preschool children to foundational mathematics concepts through interactive read-alouds. The "Booked on Math" curricula includes ten book readings and associated inquiry-based lesson plans. "Booked…

In this paper, I investigate whether two-stage exams aid learning in undergraduate mathematics, as measured by students' performance on subsequent exams. In a two-stage exam, students complete the exam individually then form into groups to solve it again, with grades based on a combination of the two stages. Previous research in other disciplines…

Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding the premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. This hypothesis was evaluated for an empirically-validated…

Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding a premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented 1 LT level beyond a child's present level of thinking. We evaluated this hypothesis using an empirically validated LT…

In this university study, sections of an integral calculus course were randomly assigned to either a control or treatment group for a lesson on volumes of revolution. Both groups were given similar collaborative tasks, but only the students in the treatment group were given access to a set of 3D manipulatives. Pre- and post-assessments were…

The aim of this research was to examine the effects of mathematics activities prepared by using Jigsaw II technique on fourth grade students. A mixed design was used, consisting of a combination of pre-test post-test without control group a Quasi-experimental design and qualitative data. The research's study group consisted of 21 fourth-grade…

Research has shown assistance can provide many benefits to novices lacking the mental models needed for problem solving in a new domain. However, varying approaches to assistance, such as subgoals and next-step hints, have been implemented with mixed results. Next-Step hints are common in data-driven tutors due to their straightforward generation…

Effects of spaced, repeated retrieval practice and test-potentiated learning on mathematical knowledge and reasoning in an authentic educational setting are investigated in the study. Research participants were a cohort of second-year pre-service mathematics teachers. A revised taxonomy table was utilized to measure the knowledge and reasoning…

Worked examples are effective learning tools for algebraic equation solving. However, they are typically presented in a static concise format, which only displays the major derivation steps in one static image. The current work explores how worked examples that vary in their extensiveness (i.e., detail) and degree of dynamic presentation (i.e.,…