Geometry: Seeing, Doing, Understanding

Front Cover
Macmillan, Mar 14, 2003 - Mathematics - 780 pages
3 Reviews
Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards.  Since its publication nearly one million students have used this legendary text.  Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest.
 
This edition is the Jacobs for a new generation.  It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be.  The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
  

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User Review  - Thruston - LibraryThing

A stunning visual treat combined with imaginative and compelling examples from a vast range of cultures and professions that bring elementary geometry to life in a unique way. Read full review

User Review - Flag as inappropriate

I am a Geometry teacher and have taught now from three different texts (McGraw-Hill, Glencoe and Jacobs). The Jacobs text surpasses the others in so many ways. His passion for the subject is infectious, he steps through every concept logically in small steps, and he uses liberal doses of humor. It is not a typical math text designed for rote learning. You cannot flip to the lesson and see a series of examples identical to the homework, which is why some tutors don't like it. This text was designed to teach students to reason and think. At that, it excels. 

Contents

Euclid the Surfer and the Spotter
1
Angles in Measuring the Earth
13
Telling Time with Shadows
24
We Cant Co On Like This
31
2
41
Direct Proof
50
A Deductive System
60
Lines and Angles
77
Proportions in a Right Triangle
428
The Pythagorean Theorem Revisited
434
Isosceles and 3060 Right Triangles
441
The Tangent Ratio
448
The Sine and Cosine Ratios
454
Slope
461
The Laws of Sines and Cosines
468
Summary and Review
475

4
131
Polygons and Congruence
139
ASA and SAS Congruence
146
Isosceles and Equilateral Triangles
157
SSS Congruence
163
Constructions
169
Summary and Review 1 76
176
Inequalities
183
The Exterior Angle Theorem
190
The Triangle Inequality Theorem
200
Parallel Lines
211
Proving Lines Parallel
219
The Parallel Postulate
225
The Angles of a Triangle
236
AAS and HL Congruence
242
7
257
Parallelograms and Point Symmetry
265
Rectangles Rhombuses and Squares
276
The Midsegment Theorem
286
Transformations
297
Reflections
305
Isometries and Congruence
312
Transformations and Symmetry
319
Midterm Review
330
Area
338
Squares and Rectangles
344
Triangles
351
Parallelograms and Trapezoids
358
The Pythagorean Theorem
365
Summary and Review
371
Algebra Review
376
Similarity
377
Ratio and Proportion
378
Similar Figures
385
The SideSplitter Theorem
392
The AA Similarity Theorem
399
Proportions and Dilations
407
Perimeters and Areas of Similar Figures
414
Summary and Review
420
Algebra Reviews
425
11
426
The Right Triangle
427
Algebra Review
481
Circles Radii and Chords
484
Tangents
491
Central Angles and Arcs
497
Inscribed Angles
504
Secant Angles
510
Tangent Segments and Intersecting Chords
516
Summary and Review
522
Algebra Review
527
13
528
The Concurrence Theorems
529
Triangles and Circles
530
Cyclic Quadrilaterals
536
Incircles
542
The Centroid of a Triangle
548
Cevas Theorem
554
Napoleons Discovery and Other Surprises
561
Summary and Review
566
14
567
Regular Polygons and the Circle
571
Regular Polygons
572
The Perimeter of a Regular Polygon
579
The Area of a Regular Polygon
585
From Polygons to Pi
591
The Area of a Circle
598
Sectors and Arcs
605
Summary and Review
612
Geometric Solids
617
Rectangular Solids
628
Prisms
634
The Volume of a Prism
640
Pyramids
647
Cylinders and Cones
654
Spheres
662
Similar Solids
670
The Regular Polyhedra
677
16
689
The Saccheri Quadrilateral
696
The Geometries of Lobachevsky and Riemann
702
Final Review
718
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About the author (2003)

HAROLD R. JACOBS

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