Other Math Answers

1.according to Shulman (1986),mathematical content knowledge and pedagogical content knowledge are integrated parts of the effective teaching and learning of mathematics. For your (the teacher) to facilitate the construction of mathematical concepts in learners' mind, you will need both pedagogical knowledge and mathematical knowledge. In the light of this information, briefly discuss what pedagogical content knowledge entails.

2.briefly explain how you could innovatively use the following strategies to facilitate your lesson.

- inquiry based learning

- problem based learning

- jigsaw

- classroom technology

1.briefly discuss any three challenges that learners might experience in learning additio and subtraction of common fractions. How could you (the teacher) address the identified challenges?

2.contextualisation of mathematics content and concepts can improve learner motivation, learning and persistence. Briefly discuss this statement and explain the principles that support the use of contextualisation of content.

1. Briefly discuss the importance of observation and assessment of learners learning by answering the following questions:

- what are the reasons for observing learners' learning?

- at what stage of your teaching do you use observation and why?

- careful observation and assessment will reveal knowledge, skills, values and aptitude learners have. As a teacher, how could you support learners' learning and development?

What is the different between weak and strong sustainability?

Suppose the following market model for sugar in Pakistan.

Qd = 18 - 2P, and Q s= -2 + 2P

If Govt. wants to levy a tax upon this product, what is the optimal tax rate at which she can achieve

maximum tax revenue?

. Explaining short-run economic fluctuations

Most economists believe that real economic variables and nominal economic variables behave independently of each other in the long run.

For example, an increase in the money supply, a    variable, will cause the price level, a    variable, to increase but will have no long-run effect on the quantity of goods and services the economy can produce, a    variable. The notion that an increase in the quantity of money will impact the price level but not the output level is known as    .

Legess Legacy Company produces machine. The company incurs the following monthly costs to produces the machine.

Fixed costs = RM 350000

Variable costs = RM 4000 per unit

The company produces 200 units per month and the machine sell for RM 8000 per unit.

 a. Determine:

     i. the total cost, total revenue and total profit for the company.

     ii. break even volume for the company.

   b. Determine the new break even volume if the company:

1. reduce the raw material cost by 10%.
2. increase the price of the machine by 5%.

If the error function for 4 experimental points equals to 50.4, then the root mean square (rms) for these points equals to

If the error function for 4 experimental points equals to 50.4, then the root mean square (rms) for these points equals to