MATHEMATICS INVESTIGATION AND MODELING

What are the 4 Core thinking processes?

• Specialization, Coordination., Justification, Generalization

• Specialization, Conjecturing, Justification, Generalization

• Specification, Coordination, Justification, Generalization

• Specification, Conjecturing, Justification, Generalization

What is mathematical modeling?

• The development of computer programs to simulate real-world systems.

• The study of abstract mathematical structures

• The use of mathematical equations to solve problems.

• The process of applying mathematical concepts to real-world problems.

What is mathematical investigation?

• The systematic exploration of mathematical concepts and relationships.

• The process of solving mathematical equations.

• The application of mathematical techniques to real-world problems.

• The study of mathematical history.

Which of the following statement is TRUE?

• Problem solving as a process is under the process of Mathematical Investigation

• Problem solving and mathematical investigation are not connected

• Problem solving as a process involves the process of mathematical investigation.

• None of the statement is not false

Which of the following statement is NOT FALSE?

• Both Problem Solving and Mathematics investigation are convergent

• Problem Solving is divergent

• Mathematics Investigation is divergent

• Mathematical Investigation is convergent

Which of the following is NOT part of the reasons why we use mathematical investigation?"

• It develops positive attitude towards mathematics

• It can be a source of enjoyment.

• It causes better retention of concepts learned.

• It can save you from mathematical problem

Which of the following is the proper sequence of first 4 stages in mathematical investigation?
I. Organizing Data
II. Gestating
III. Generating Examples
IV. Preliminary Skirmishing

• I, II, III, IV

• IV, III, I, II

• II, IV, I, III

• IV, I, III, II

___________ are statements arrived at inductively or based on existing data.

• Abstract

• Conclusion

• Conjectures

• Summary

The statement starts with “What if .” or “What would happen if…” is use on what stage in mathematics investigation?

• Testing Conjectures

• Generating Examples

• Elaborating

• Justifying

What stage in mathematical investigation uses a counter-examples?

• Justifying

• Summarizing

• Testing Conjectures

• Elaborating