Elementary Geometry for Teachers - POOS

Elementary Geometry for Teachers is the sequel to Elementary Mathematics for Teachers. Elementary Geometry for Teachers is designed for the second semester of a mathematics course for prospective elementary teachers. This text takes students through the development of measurement and geometry in Grades K-8. It also includes material on probability and data analysis. It is used in conjunction with six Primary Mathematics books.

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Sample Pages

Elementary Geometry for Teachers

1. Learning to Measure

1.1 Measurement Problems
1.2 Measuring Length
1.3 Measuring Weight and Capacity
1.4 Measuring Angles

2. Geometric Figures

2.1 Fundamental Geometric Ideas
2.2 Triangles
2.3 Symmetry and Triangles
2.4 Parallelograms, Rhombuses and Trapezoids
2.5 Geometric Constructions

3. Finding Unknown Angles

3.1 Unknown Angle Problems
3.2 Finding Angles Using Parallel Lines
3.3 Angles of a Polygon

4. Deductive Geometry

4.1 Unknown Angle Proofs
4.2 Congruent Triangles
4.3 Applying Congruences
4.4 Congruences in Quadrilaterals
4.5 Transformations and Tessellations

5. Area

5.1 Area Units
5.2 Rectangles and Area Properties
5.3 Area of Triangles, Parallelograms and Trapezoids

6. Pythagorean Theorem with Applications

6.1 Pythagorean Theorem
6.2 Square Roots and Pythagorean Triples
6.3 Special Triangles and Further Applications

7. Similarity

7.1 Introducing Similarity and Similar Right Triangles
7.2 Similar Triangles
7.3 Coordinate Systems and Slope
7.4 Similar Right Triangles and Trigonometry

8. Area Concepts and Circles

8.1 Converting Area Units and Scaling
8.2 Circles and Pi
8.3 Area of Circles and Sectors
8.4 Approximation and Accuracy

9. Volume and Surface Area

9.1 Introducing Volume
9.2 Metric Volume
9.3 Prisms and Cylinders
9.4 Pyramids and Cones
9.5 Spheres

10. Data Displays, Probability and Statistics

10.1 Data Displays
10.2 Center and Dispersion of Data Sets
10.3 Probability
10.4 Inferential Statistics
10.5. Appendix: Other Ways to Display Data

Bibliography

Index