Problem Posing In Teaching Primary Mathemathis

Problem Posing •Generate new problems and questions base on the existing given problems. •There is always a fixed number of ways (combinations) in which questions can be asked. • You must find all the different combinations of questions for each chapter to be tested and find out the steps needed to solve it. •Once you have learnt the steps to solve each type of question, the next step is to internalize it by practicing doing each type of question.

Steps of Writing All the Possible Ways to Ask Questions

Step1: Collect different types of combinations from a question • Collect all the possible different types (combinations) of questions for each chapter. • Search for all these possible questions from a variety of sources. • For example, a compilation of examination questions over the last ten years, assessment books, homework from school, past test papers and the test papers of other schools (especially the elite ones).

Step 2: Learn the steps to solve • For each of the question types you have collected, find out the steps needed to solve each one. • You will find that for a particular type of question, the steps involved are the same, even though the numerical numbers may vary.

Step 3: Practice to internalize • Finally, you must practice doing each type of question at least three times, using the steps needed to solve each one.

Example: Chapter

X

• You will find that there are a fixed number of possible question types. • They are X1, X2, X3, X4, ……Xn. • Every question type requires a different set of steps or skills to solve.

• Each type of question (lets say X1), there are many possible variations that could come out for the exam. • Could be X1a, X1b, X1c ….etc. • Many variations of a particular type of question are generated by changing the numerical values involved. • Might be an infinite number of variations that can be used to ask a question for each type, but all the different variations of the same type of question can be solved using the same formula or steps. • For example, if you can solve one (that is, X1a) , you should be able solve the rest (X1b, X1c, X1d…..etc).

• In a group of 3-4 persons, write down all the steps showing how you get the answer to the following question. • Base on your answer, list down all the variables in the question. • Generate all the possible questions using each of the listed variables.

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Activity 4.1 Activity 4.2 Activity 4.3 Activity 4.4 Activity 4.5 Activity 4.6 Activity 4.7 Activity 4.8