Inhaltsverzeichnis

How to use this book. SECTION 1: Standards and methodologies. Standard and methodologies worksheet. National Council of Teachers of Mathematics. NCTM Curriculum standards for grade K--4. NCTN Curriculum standards for grades 5--8. Publishers of instructional materials in elementary mathematics. Vendors for math resource materials. Publishers of teacher activity books and materials. Holistic teaching methods in elementary mathematics. Communicating and writing in elementary mathematics. Mathematics and children's literature: a bibliography. Teacher resource books linking mathematics to literature and writing. Occupations and careers: people who use mathematics. Famous mathematicians. SECTION 2: Beginning mathematics. Beginning mathematics worksheet. Classification. Seriation. Number. Spatial and temporal relationship. Estimation. Measurements. Theories of beginning mathematics. Resources for beginning mathematics. SECTION 3: Geometry. Geometry worksheet. How children learn geometric concepts. Vocabulary for geometric solid shapes. Solid shapes: polyhedrons. Faces of solid shapes. Nets for solid shapes. Vocabulary for polygons. Polygons. Classification of triangles. Classification of quadrilaterals: definitions. Nets for pentomino figures: boxes. Nets for hexonimo figures: cubes. Circles: Definitions. Formulas for finding perimeter and area of polygons. Pick's theorem: finding area using a geoboard. Pythagorean theorem. Formulas for finding volume of polyhedras. 28 symmetry patterns. Geometry resources. Geometry activity books. SECTION 4: Numeration and counting. Numeration and counting worksheet. The Egyptian counting system. The Roman counting system. The Chinese counting system. Ancient number systems. The Hindu--Arabic counting system. Googol. Sets. Ordering sets. Cardinal and ordinal numbers. Prime numbers. Composite numbers. Expanded and exponential numbers. Scientific notation. 100 number array. Counting by 1's, 2's, 5's, and 10's. Counting up to 10 in other languages. SECTION 5: Basic operations. Basic operations worksheet. Properties of addition and subtraction of whole numbers. Properties of multiplication and division of whole numbers. 100 basic addition facts. 100 basic subtraction facts. 100 basic multiplication facts. 100 basic division facts. Algorithms for addition. Algorithms for subtraction. Algorithms for multiplication. Algorithms for division. The basic facts families for addition. The basic facts families for multiplication. Story problems. Grid addition. Finger multiplication. Products of nine. Chisanbop. SECTION 6: Number theory. Number theory worksheet. Complex number system. Rules of divisibility. Product expressions: finding prime numbers. Sieve of Eratosthenes. Prime factorization: making factor trees. Prime factoring large numbers. Finding the LCM (least common multiple). Finding the GCF (greatest common factor). Finding square roots. Digital roots. SECTION 7: Fractions. Fractions worksheet. Teaching the concept of fractions. Fraction vocabulary. Adding fractions. Subtracting fractions. Multiplying fractions. Dividing fractions. Ratios. Fraction resources. Fraction activity books. SECTION 8: Decimals. Decimal worksheet. The decimal system: exponential and expanded notations. Teaching the concept of decimals. Addition and subtraction of decimals. Multiplication and division of decimals. Changing a fraction to a decimal. Terminating and nonterminating fractions--decimals. Changing a percent into a fraction and changing a decimal into a percent. Decimal resources. Decimal activity books. SECTION 9: Measurement. Measurement worksheet. The English system of measurements. The metric system of measurements. Common conversions. The US monetary system. International currencies. Figuring taxes. Figuring interest. Keeping a checkbook. Terms in time. 24--hour clock. Temperatures. Speed, time, and distance. Air miles between major US cities. SECTION 10: Probability and statistics. Probability and statistics worksheet. Probability. Independent events with cards, dice, spinners, and marbles. Simple statistics. Stem--and--leaf plots. Picture graphs. Histograms. Frequency polygon. Circle graphs. Probability and statistics resources. Probability and statistics activity book. SECTION 11: Algebraic thinking. Pre--algebra worksheet. Equations. Logic: learning to read mathematics. Vectors in elementary mathematics. Vectors: sailing activity. Multiplying on a grid. Multiplying mixed numbers. Dividing on a grid. SECTION 12: Problem solving. Problem solving worksheet. Developing a problem solving heuristic. Problems for strategy 1: act it out. Problems for strategy 2: draw a picture. Problems for strategy 3: guess and check. Problems for strategy 4: look for a pattern. Problems for strategy 5: make a chart or table. Problems for strategy 6: make a list. Problems for strategy 7: make a model. Problems for strategy 8: work backwards. Problems for strategy 9: write a number sentence. SECTION 13: Technology. Technology worksheet. Computer math programs for grades K--12. How to use the Internet. World Wide Web (WWW) sites. Search engines. SECTION 14: Reproducible patterns. Reproducible patterns worksheet. Grids. Geometric patterns. Nets for geometric solids. Geometric figures for sorting. Flash cards for multiplication facts. Number lines and numbers. Tangrams, pattern blocks, pentominoes, and rods. Fraction strips and circles. Coins, paper money, and checkbook. Map of United States. References. Answer key.

Portrait

Sonia M. Helton, Ph.D., is a professor of Childhood Education at the University of South Florida at St. Petersburg. She currently teaches courses in elementary math and language arts, and is the author of Math Activities for Every Month of the School Year (1990, The Center for Applied Research in Education). Stephen J. Micklo, Ph.D., is a professor of Childhood Education at the University of South Florida at St. Petersburg. He currently teaches early childhood and elementary math methods courses.