Friedrich Froebel, the German educator and founder of the Kindergarten Movement, developed a series of play materials including geometric building blocks and pattern activity blocks designed to teach children about forms and relationships found in nature. Froebel's notions about using activity and play in preschool education complement many…

This article presents activities to help students establish a connection between the mean and the balance point of a lever. The lever and its law are discussed briefly. Thought experiments with a meterstick are presented to emphasize different properties of the mean and weighted averages. (Contains 16 figures.)

Now in a second edition, the award-winning "The Trouble with Maths" offers important insights into the often confusing world of numeracy. By looking at learning difficulties in maths from several perspectives, including the language of mathematics, thinking styles and the demands of individual topics, this book offers a complete overview of the…

The study compared the effects of dynamic geometry software and physical manipulatives on the spatial visualisation skills of first-year pre-service mathematics teachers. A pre- and post-test quasi-experimental design was used. The Purdue Spatial Visualisation Test (PSVT) was used for the pre- and post-test. There were three treatment groups. The…

This article describes how to make an origami paper box and explores the algebra, geometry, and other mathematics that unfolds. A set of origami steps that transforms the paper into an open box can hold mathematical surprises for both students and teachers. An origami lesson can engage students in an open-ended exploration of the relationship…

Watching a rubber hand being stroked by a paintbrush while feeling identical stroking of one's own occluded hand can create a compelling illusion that the seen hand becomes part of one's own body. It has been suggested that this so-called rubber hand illusion (RHI) does not simply reflect a bottom-up multisensory integration process but that the…

Recent research indicates that the methodology for teaching English language learners (ELLs) is unique. One approach most commonly used to teach this group in the United States is referred to as sheltered instruction. With Sheltered English Immersion (SEI), middle school teachers simultaneously teach content and language skills. The author will…

We present a simple device for demonstrating the essential aspects of polymers in flow in the classroom. Rubber bands are used as a macroscopic model of polymers to allow direct visual observation of the flow-induced changes in orientation and conformation. A transparent Perspex Couette cell, constructed from two sections of a tube, is used to…

Early childhood teachers around the country and the world guide children's mathematical learning through the use of manipulatives--pattern blocks, base blocks, geoboards, Unifx cubes, Cuisenaire rods, coins, clocks, and so on. Manipulatives allow concrete, hands-on exploration and representation of mathematical concepts. In the past few years,…

As educators in the public sector confront the challenge of guiding all students toward academic success, policies and practices associated with prevention, early screening, and identification of learning needs have moved to the center of the enterprise of schooling. This article is about the lessons that accompany that challenge, and their…

To create an environment in which all students have opportunities to notice, describe, and wonder about variability, this article takes a context familiar to many teacher--sampling colored chips from a jar--and shows how this context was used to explicitly focus on variation in the classroom. The sampling activity includes physical as well as…

The current educational climate poses a difficult challenge for middle grades science teachers, because they must respond to calls for more inquiry-oriented instruction in the science classroom and, at the same time, prepare students to pass high-stakes proficiency tests based on broad state science standards. The purpose of this article is to…

This study develops virtual manipulative, polyominoes kits for junior high school students to explore polyominoes. The current work conducts a non-equivalent group pretest-post-test quasi-experimental design to compare the performance difference between using physical manipulatives and virtual manipulatives in finding the number of polyominoes.…

Play provides young children with the opportunity to express their ideas, symbolize, and test their knowledge of the world. It provides the basis for inquiry in literacy, science, social studies, mathematics, art, music, and movement. Through play, young children become active learners engaged in explorations about themselves, their community, and…

With the implementation of the natural approach, the dinosaur study and facilitated block play gave dual language learners many opportunities to acquire a new language, develop social skills, and improve communication abilities. Once teachers identified the barriers to children playing and talking together, they created a classroom environment…