Physical manipulatives enhanced knowledge acquisition by engaging learners in hands-on experiences that supported spatial reasoning. These tools allowed learners to see, touch, and manipulate objects, improving their ability to mentally rotate and visualize structures. This study challenged the assumption that most learners are purely visual by…

Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners' views on how polygon pieces and dictionary mediate learning of…

With the ever-diversifying digital landscape of the 21st century, terms such as 'information and communication technologies' (ICT), 'digital media' and 'technologies' are often used to refer to a broad set of digital devices and applications. However, the use of these umbrella-concepts in educational contexts has caused issues when used in…

Hands-on projects have been widely used as alternative approaches for teaching and learning of science with direct practical experience on doing to promote students' development of 21st-century skills. Here, we present an implementation of hands-on projects into teaching and learning of magnetic field topic that corresponds with indicators and…

Student engagement in their own learning of mathematics, and student attitudes towards mathematics are key dimensions of learning. This mixed methods study examined the impact of a classroom intervention based on the principles of reform mathematics (i.e., active student involvement, hands-on, real-world connections, use of manipulatives and…

This paper provides historical insights and educational background of Froebel's Gifts, hands-on materials developed in the early 19th century. Based on an explorative study with 54 German children (aged 5 to 10) in 2016, we first took steps to explore how these materials meet the demands for early mathematics learning of primary children. Starting…

Doug Williams presented the opening address at Conference 2012 on the theme of "Enigmas". Here he continues storytelling about the learning and teaching of mathematics at its best. The descriptions are of real classrooms with real teachers, and real learners. As with many good stories this is the narrative of a journey. A journey that…

This is an account of events in a real classroom when the notion that there is a distinction between calculation by counting, and calculation by structuring is a focus for learning. Pupils have "hands-on" experiences that support their understanding of "number". The teaching "aid" might be unfashionable in…

This article depicts the rewarding experience of creating mathematical environments for kindergarten and elementary students by focusing on one of the most important and often difficult-to-grasp concepts (fractions) through play methods incorporated into a math fair. The basic concept of a math fair is threefold: (1) to create preplanned,…