Higher education institutions (HEIs) are drivers of social change embedded in a society which is experiencing increasingly complex and multifaceted crises. This is partly attributable to the use of conventional and deterministic problem-solving curricula. A combination of a transdisciplinary approach and indigenous knowledge (IK) as transformative…

Computational thinking (CT) is a way of making sense of the natural world and problem solving with computer science concepts and skills. Although CT and science integrations have been called for in the literature, empirical investigations of such integrations are lacking. Prior work in natural selection education indicates students struggle to…

The probability is exceptional in the teaching of mathematics because students often have difficulties to understand the basic terms and the problem solving strategies. Understanding lacks of the probability concept and various types of misconceptions arise from the misleading intuition and misinterpretations of experience with the stochastic…

Assessment, including course exams, clearly indicates to students what learning goals they are expected to master in a certain course. However, most of these assessments tend to focus on generating a correct answer rather than on the type of reasoning or skills used to arrive at the answer. If educators value skills in addition to the correctness…

Understanding a graph in pairs, in a productive way, improves the comprehension of a concept. In this research, we had 2 objectives: 1) to delve deep into the behavior of 15 pairs of remedial physics students when solving a problem with a graph of velocity, 2) to understand the interchange of personal meanings during their interactions. We posed…

This study aims to analyze the effectiveness of learning materials oriented on problem-based learning models, the improvement mathematical problem solving ability and students' metacognition ability. Learning materials that developed are lesson plan, student book, student worksheet, mathematical problem solving ability and students' metacognition…

We compared students' learning gains in authentic seventh-grade classrooms (N = 144) in 4 different interventions that incorporated a computer game that aims to teach players to solve linear equations. Significantly higher learning gains were measured in the implementations that were specifically designed to mediate the attribution of algebraic…

Studying worked examples has been found to be effective for learning problem solving, especially among students. However, students need to actively process example content to benefit from it and content must be structured in a manner that facilities knowledge construction. This study investigated the use of worked examples for teaching and…

Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…

This study was framed within a quantitative research methodology to develop a concise measure of calculus self-efficacy with high psychometric properties. A survey research design was adopted in which 234 engineering and economics students rated their confidence in solving year-one calculus tasks on a 15-item inventory. The results of a series of…

This study examined effects of the Polya's problem solving Technique (POPSOT) as observed by Shaibu (1987) in Atadoga (2010) and conventional problem-solving Technique (CONPSOT) on cognitive achievement of physics students. A pre-test post-test quasi experimental design used adopted for the study. The sample comprised of 102 senior secondary two…

In parallel with the significant and exciting advancements in robot technologies, the use of humanoid robots to support teaching strategies and learning goals has become a popular topic. Different from the traditional instructional or learning tools, humanoid robots can exhibit mobile behaviours and numerous repetitions and are very helpful to the…

Increasing and decreasing functions can be combined into a quadratic to explore the competing demands of number of sales, price points and profit (or loss). An interesting application of taxation rates is also explored.

In this article, the authors present the use of digital tape diagrams--implemented using GeoGebra (2001) dynamic mathematics software--as a support to static diagrams to pose and solve proportional reasoning tasks. They show how dynamic sketches can allow students to explore standard tasks in proportional reasoning in ways that emphasise…

This informal essay is based on a presentation James Tanton gave at the Australian Association of Mathematics Teachers (AAMT) 'Why Maths?' Conference in 2019. It begins by offering two first steps to problem-solving that Tanton believes are key for finding success--and joy--in doing mathematics: (1) Be human! Have an emotional reaction to the…