The aim of this paper is to provide educators and industrial design professionals with an insight into the development of innovative design ideation images manipulation techniques and, highlight how these techniques could be used to not only improve student ideation skills, but also as design enablers for a broader range of professionals working…

Structured abstract: Introduction: Difficulties in science and mathematics may stem from intuitive interference of irrelevant salient variables in a task. It has been suggested that such intuitive interference is based on immediate perceptual differences that are often visual. Studies performed with sighted participants have indicated that in the…

An innovative educational technology called interactive virtual and physical manipulatives (VPM) is developed to improve students' spatial skills. With VPM technology, not only can students touch and play with real-world physical manipulatives in their hands but also they can see how the corresponding virtual manipulatives (i.e., computer…

A robust understanding of place value is essential. Using a problem-based approach set within meaningful contexts, students' attention may be drawn to the multiplicative structure of place value. By using quotitive division problems through a concrete-representational-abstract lesson structure, this study showed a powerful strengthening of Year 3…

This paper is premised on the fact that math can be an important tool in helping people make sense of the world. Math offers a unique and particular lens, helping people to focus on a range of characteristics from shape and amount to the relationship between the general and the particular. To promote math as a tool for making sense, early…

Every week, thousands of "makers" worldwide indulge their passion for creating, inventing, and meddling as they visit "Tinkering studios," "Tinkerlabs," and "Tinkergarden." Such "makers" are inherently engineers; exhibiting many of the Engineering Habits of Minds described in this Special Issue as…

Spatial abilities are used in many aspects of everyday life, thus developing these abilities should be one of the most important goal of Mathematics Education. These abilities should be developed starting with early school years, thus pre-school and primary school teachers have an important role in setting the foundation of these abilities. A…

We present a new teaching and outreach activity based around the construction of a three-dimensional chart of isotopes using LEGO® bricks. The activity, "binding blocks", demonstrates nuclear and astrophysical processes through a seven-meter chart of all nuclear isotopes, built from over 26000 LEGO® bricks. It integrates A-Level and GCSE…

The purpose of this study is to explore factors that affect exclusively physical, virtual and both a Virtual-Physical (VP) and Physical-Virtual (PV) sequence of manipulatives within Studio Physics environment. In this environment students actively work together to learn through real world experimentation and simulation based activities. Activities…

In this article, we give two examples of creating portable chalkboards using chalkboard paint for students to use during cooperative learning. This provides a creative method for professors to facilitate active learning in the undergraduate mathematics classroom.

The authors consider the strengths and weaknesses of three different visuo-spatial constructive play object (VCPO) types--blocks, bricks, and planks--and their impact on the development of creativity in spatial thinking and higher learning during free play. Each VCPO has its own set of attributes, they note, leading to different purposes,…

Manipulatives are ubiquitous in early childhood classrooms; yet, findings regarding their efficacy for learning mathematics concepts are inconsistent. In this article, we present four general principles that have emerged from cognitive science about ways to ensure that manipulatives promote learning when used with young children. We also describe…

Today's society places a lot of pressure on schools, teachers, and students to improve test scores. This paper discusses the possibility of using mathematical manipulatives to improve student test scores and students' attitudes towards mathematics. Forty-three Grade 2 students with age ranges between six and eight from a rural town in Saskatchewan…

Young children thrive in classrooms that allow them to explore and discover their environment and interests and also support them in this learning. Because children learn best when they are interested and excited, early-childhood educators should offer children play-based, integrated mathematical experiences (NRC 2009). In this article, the…

The purpose of this study was to investigate the relative effectiveness of experimenting with physical manipulatives alone, virtual manipulatives alone, and virtual preceding physical manipulatives (combination environment) on third-grade students' science achievement and conceptual understanding in the domain of state changes of water, focusing…