Pre-Test1. 6 – 3 = ________2. -2 + 6 = ________3. -1 – 5 = ________4. -6 + 3 = ________5. 4 + -5 = ________6. -2 + -5 = ________7. 5 + 8 = ________8. 7 – 2 = ________9. -5 – 1 = ________10. 7 + -2 = ________

Learning Theory

WHAT IS 25 X 25 ?

WHAT IS 25 X 25 ?

Types of Learning

•Problem solving (Rules)•Facts• Physical skills

Problem Solving

• The behavior• The rule statement

Problem SolvingAdding Integers

• The behavior-7 + 5

• The rule statementwhen the signs are different, subtract and use the sign of the larger number

Types of Learning

• Tying your shoes• Solving: 5X + 3 = 2X – 7• Spelling hippopotamus • Swinging a bat• knitting

Name some other skills that are problem solving Name some other skills that are facts Name some other shills that are physical

Learning

• Learning is an internal process under the control of the individual

• Teaching is an external process under the control of the instructor

Students

• Listen• Study• Practice

Teachers

• Teachers set the (external prompts for the) CONDITIONS OF LEARNING

Conditions of Learning

• For each type of learning, there should be different types of conditions

Conditions (Steps) in LearningProblem Solving (Original Learning)

• Discriminate between items• Classify items into groups• Name the groups• Determine a solution strategy (an algorithm)

• If possible, give the behavior a rule statement

Algorithm

• A step by step procedure to solve a problem

Discriminate Between Items

Discriminate Between Items

1. X2 + 3X = 62. 3X – 8 = 2X + 53. 3X2 = 94. 3X + 6 = 2X5. 9X = 18X2

6. X = 07. 9X + X2 = 0

• How do you solve Algebra I problems?• How do you solve Algebra 2 problems?

A General ApproachTo Solve Problems

(After Original Learning)

• Recognize the problem• Remember the algorithm

Recognize the problemRemember the algorithm

a

1. 8 – 3 = ________2. -3 + 5 = ________3. -4 – 9 = ________4. -4 + 5 = ________5. 8 + -5 = ________6. -3 + -6 = ________7. 5 + 4 = ________8. 3 – 2 = ________9. -6 – 2 = ________10. 9 + -5 = ________

SummaryTypes of learning

Problem solving the behavior the rule statementFactsPhysical skills

Steps in learning (Original learning – learning for the first time)Discriminate between itemsClassify items into groupsName the groups

Approach to Problem Solving (After original learning)Recognize the problemRemember the algorithm

Name the Command Structures

• Tree Commands

• Fluid User Interface (FUI)

Name the Groups

Classify into Groups

Name the Groups

• Group 1• Group 2• Group 3