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1. Discuss the benefits of teaching through problem solving.


2. Explain what is meant by "tasks or problems that can be used for teaching


mathematics".


3. Select an activity from any chapter in Section 2 of the book of Van de Walle et al. How


can the activity be used as a problem or a task for the purpose of teaching through


problem solving?


4. Teaching through problem solving is not only about finding suitable problems and


presenting them to learners. What is the role of the mathematics teacher in a problem


solving lesson?


5. Analyse the value of group work while solving problems.

1. Suppose you have to teach mathematics to a group of learners who have never learnt


mathematics in a problem solving environment. Most of these learners probably won't


know how to solve problems, how to work together in a group and how to take part in


class discussions about the solution of problems. Describe how you will meet these


challenges by paying special attention to the following:


1.1 The role of problem solving in the learning of mathematics. (10)


1.2 The creation of a learning environment (include group work and class discussions) that


should promote problem solving. (10)


1.3 The development of learners into good problem solvers. (10)


2. Write down a detailed lesson plan, using the lesson format for mathematics. You have


to attach copies of the study material used in the lesson. (15)

Suppose you have to teach mathematics to a group of learners who have never learnt



mathematics in a problem solving environment. Most of these learners probably won't



know how to solve problems, how to work together in a group and how to take part in



class discussions about the solution of problems. Describe how you will meet these



challenges by paying special attention to the following:



1.1 The role of problem solving in the learning of mathematics

List 6 factors that support judicial law making


Implement the following problem in C programming language with following functions:


1- A function “Speed” that takes meters and seconds as parameters and returns the speed in meter


per second (m/s).


2- A function “Convert” that returns the kilometer per hour (kph) equivalent of m/s.


Call the above created function in main to test them.

Determine the pH of the buffer solution produced by the reaction of 5 mL 0.1 M KOH and 30 mL 0.1 M CH3COOH . The pKa of acetic acid is 4.76.



Find the pH of a solution produced by the reaction of 250 mL 0.1 M NaOH and 150 mL 0.03

M acetic CH3COOH Note that the pKa of acetic acid is 4.76.


4.Three women bought notebooks which was advertised to be P27.00 each. Each give P10.00 to the agent, and ask her to bring back P3.00. The agent returns to the desk. where she learns that the notebook is actually only P25.00 each. She gives P25.00 to the desk clerk, returns to the women, and gives back each P1.00, deciding not to tell them about the actual rate. Thus the agent has pocketed P2.00, while each guest has spent 10-1-P9, a total of 2+3-9-P29. What happened to the other peso?


A CFL or compact fluorescent lamp uses less energy that its equivalent incandescent bulb. How much will a person save of he uses a 30 W CFL instead of 100 W incandescent lamp for 7 hr in 30 days? Electricity is priced at 9.55 hp/kW.hr


An electromotive force of a cell is .8 5 V and is connected to a load of 4.25Omega , the voltage drops to 2.0 V. Find the current and internal resistance of the cell.



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