We present an algorithm for solving the time-dependent Schrödinger equation that is based on the finite-difference expression of the kinetic energy operator. Students who have some knowledge of linear algebra can understand the theory used to derive the algorithm. This is because the finite-difference kinetic energy matrix and the Hückel matrix…

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

When it comes to teaching vocabulary in foreign language classes words are often taught in isolation, without regard to the context in which they appear. The paper draws attention to the importance of teaching words in context so that the meaning of a word often results from the meaning of a larger construction it is part of. After presenting the…

Environmental education for all students is becoming more urgent as societies strive to deal with challenges such as climate change and loss of biodiversity. Teachers have an important role to play in defining the environmental knowledge, beliefs, and actions of the next generation. Understanding the anthropogenic inputs responsible for alteration…

Word Problems those are also named as "Story Problems" which are well known to the students around the world. In this book there are 26 chapters which encompass diversified problems of four basic mathematical rules--addition, subtraction, multiplication and division. These problems may help students to practice more and more as well as…

This unique collaboration between a veteran educator and a psychotherapist shows that the educators who are most effective in teaching diverse student populations are the ones who can "see students clearly and respond to their needs without hesitation or bias." Framed around an original, eight-stage model of diversity development, this book…

A little imagination, a little drama, a little mystery. Using the guided inquiry model in this updated, second edition, students become detectives at Information Headquarters. They solve a mystery-and enhance their problem-solving and literacy skills. Middle school is a crucial time in the development of problem-solving, critical-thinking, and…

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Many teachers and administrators have recognized that problem solving and reasoning represent two of the primary goals in the education of children. In order for teachers to achieve these goals, they must have appropriate materials available to them. This book includes materials to help teach and assess problem solving and reasoning. The first six…

Simple nongraphing calculators can be powerful tools to enhance students' conceptual understanding of mathematics concepts. Students have opportunities to develop (1) a broad repertoire of problem-solving strategies by observing multiple solution strategies; (2) respect for other students' abilities and ways of thinking about mathematics; (3) the…

Two problem-solving skills, guess-and-test and simplification, are introduced and reinforced through a variety of motivating problem situations. Solutions of sample problems and extensive directions for the teacher encourage the use of Polya's four-step model of problem solving. (MNS)

This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…

Motivational classroom materials that provide direct instruction on problem-solving skills are given. The activity highlights and provides opportunities for practice with two problem-solving skills, make a drawing and work backward. (MNS)

This document is a collection of activity-based mathematics lessons for grades K-4 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

This activity is designed to help students recognize and extend rectangular patterns and to use patterning to formulate rules for "nth" cases. Three worksheets are included. (MNS)