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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?


Identify five stages of early number learning and create a learning activity for each stage. Illustrate the use of specific resources for each activity.


in which direction is your school from your house which is the nearest metro station bus stand from your house what is the location of your friends house draw a cartesian plane and show the location of your house your school your friends house nearest bus stand metro station in the form of coordinates


3.11Think out of the box now. Where else in the industries is mathematics used, without 

focusing more on pen-paper examples? Motivate with four relevant examples (8) 

[TOTAL: 


How would a constructivist teacher explain 1/3 ÷ 1/3


3.2 Use the format in SECTION 3.4 of your Study Guide to develop a lesson plan for grade 5 

learners. The focus of the lesson should be as follows: (25)

Grade 5

Term 1

Topic Numeric Patterns

Key concept Investigate and extend patterns

Skills Investigate and extend numeric patterns looking for relationships or 

rules of patterns:

• sequences involving a constant difference or ratio

• of learner’s own creation

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?


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