This book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are…

Educators often use concrete objects to help children understand mathematics concepts. However, findings on the effectiveness of concrete objects are mixed. The present study examined how two factors--perceptual richness and established knowledge of the objects--combine to influence children's counting performance. In two experiments, preschoolers…

Regular hexaflexagons mysteriously change faces as you pinch flex them. This paper describes a different flex, the V-flex, which allows the hexahexaflexagon (with only 9 faces under the pinch flex) to have 3420 faces. The article goes on to explain the classification of triangle orientations in a hexaflexagon and gives an example of the…

Students use concrete manipulatives to form an imperative affiliation between conceptual and procedural knowledge (Balka, 1993). Hence, it is necessary to design specific mathematics manipulatives that focus on different mathematical concepts. Preservice teachers need to know how to make and use manipulatives that stimulate students' thinking as…

In this empirical study, we investigate an early childhood education activity in mathematics on the concept of "pattern". The children participating in the study attend an intermediate form of schooling in Sweden called "the preschool class for six-year-olds", intended to facilitate their transition from preschool to school.…

Multiple Intelligence Theory suggests that individuals perceive knowledge in eight different ways. This article reports on a study that explored the role of manipulatives in the teaching and learning of trigonometric ratios in grade 10. The approach attempts in addressing three domains of the Multiple Intelligence Theory (linguistic/verbal…

This article describes a series of two linear measurement activities designed to integrate the related content and processes of Common Core State Standards for Mathematics (CCSSM) into classroom practice using nonstandard units. In the article, nonstandard units refer to same-size, repeatable units (e.g., paper clips, feet) for a specified…

Students have access to the Internet at their fingertips via e-tablets and smart phones. However, the STEM fields are struggling to remain relevant in students' lives outside the classroom. In an effort to improve high school science curricula and to keep students engaged in the classroom, we developed a technology-rich bioengineering summer…

This article is based on research in a United States second-grade classroom during a multimodal literacy workshop. Observing students working with tissue paper, foam board, string, pipe cleaners and other materials, we asked how is intra-activity with materials, time and space influencing literacy learning in Room 203? While the research…

In our three-dimensional world, one can plot, see, and comprehend a function of two variables at most, V(x,y). One cannot plot a function of three or more variables. For this reason, visualization of the potential energy function in its full dimensionality is impossible even for the smallest polyatomic molecules, such as triatomics. This creates…

This study examines the effects of early exposure of fraction instruction on K-3 students participating in a longitudinal fraction research study from 2007 to 2013. An explanatory multiple-case study research along with purposeful criterion sampling was used to gain insight into students' fractional understanding as they progress through the…

Developing pre-service teachers' (PSTs') knowledge of pedagogical practices can be particularly challenging within university classrooms. Teacher educators are well placed to provide PSTs with theoretical perspectives on pedagogical practices; what is particularly challenging, however, is linking theory with practice and developing PSTs' breadth…

This article presents a lesson plan that uses materials such as rope, drinking water, and straws in a classroom activity to teach elementary students about electrical circuits in a "hands on/minds on" fashion. Students first experiment with bulbs, wires, and switches, then they do an activity with simulating electricity through a circuit…

This study considered how arts integration impacted preschoolers concerning the students' acquisition, understanding, and retention of information about animal habitats. This current investigation used control and experimental conditions to determine the effects of art integration during students' block building of animal habitats and their…

Understanding key concepts in molecular biology requires reasoning about molecular processes that are not directly observable and, as such, presents a challenge to students and teachers. We ask whether novel interactive physical models and activities can help students understand key processes in viral replication. Our 3D tangible models are…