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…

Technology according to the National Council of Mathematics plays a special role in teaching and learning mathematics. Technology when used effectively can deepen mathematical understanding and lead to greater abstraction. But, not all uses of technology lead to this desired result. Defining cognitive and mathematical fidelity and using it to…

Whether they are third graders or teacher candidates, students can learn about perimeter and area while having fun manipulating two-dimensional figures into three-dimensional objects. In this article, the author describes a common mathematical activity for geometry students by creating nets for a cube. By making connections between nets in two…

Introduction: In this document we stress the importance of developing in children a structure for advanced numerical-algebraic thinking that can provide an element of control when solving mathematical situations. We analyze pupils' conceptions that induce errors in algebra due to a lack of control in connection with their numerical thinking. We…

Invented by English mathematician and pedagogist, Caleb Gattegno (1911-1988), the geoboard was designed as a manipulative tool for teaching primary geometry in schools (Williams, 1999). Traditionally made out of plywood and nails, geoboards today are usually made out of plastic and come in a variety of different sizes and colours. Rubber bands are…

This qualitative study investigated young children's mathematical engagement in play with wooden unit blocks. Two boys, ages 6 and 7, were independently observed completing the task of filling outlined regions with the various sets of blocks. Three major mathematical actions were observed: categorizing geometric shapes, composing a larger shape…

The triangle congruence conditions are a central focus to nearly any course in Euclidean geometry. The author presents a hands-on activity that uses straws and pipe cleaners to explore and justify the triangle congruence conditions. (Contains 4 figures.)

Transfer of reading strategies from the first language (L1) to the second language (L2) has long puzzled educators, but what happens if the L1 is an alphabet language and the second is not, or if there is a mismatch in the languages' grapheme-phoneme connection? Although some students readily adjust to reading and writing in their second language,…