Page 9 - Module 1_Chapter 1_Mathematics in the Modern World
P. 9
For BS Psychology Students
ix
CHAPTER PART I: THE NATURE OF MATHEMATICS
1 Mathematics in Our World 1
1.1 Patterns and Numbers in Nature and in the World 1
1.2 The Fibonacci Sequence 6
1.3 Patterns and Regularities in the World 14
1.4 Behavior of Nature 17
1.5 Applications of Mathematics in the World 19
Chapter Exercises 26
2 Mathematical Language and Symbols 29
2.1 Characteristics of Mathematical Language 29
2.2 Mathematical Expression and Sentences 30
2.3 Convention in the Mathematical Language 31
2.4 Four Basic Concepts: Sets, Relations, Functions, Binary
Operations 32
2.5 Elementary Logic 33
2.6 Formality 34
Chapter Exercises 35
3 Problem Solving and Reasoning 36
3.1 Inductive and Deductive Reasoning 36
3.2 Intuition, Proof and Certainty 37
3.3 Polya’s Four Steps in Problem Solving 38
3.4 Problem Solving Strategies 39
3.5 Mathematical Problems Involving Patterns 40
3.6 Recreational Problems Using Mathematics 41
Chapter Exercises 42
ZANNIE I. GAMUYAO, MSM
Assistant Professor 1
Department of Arts and Sciences
