Search & Filtering
In modern mathematics teaching we want relational understanding, in addition to instrumental understanding. Describe how a teacher would teach for both instrumental and relational understanding of long division 357÷19.
Teaching long division of 357÷19 for instrumental understanding
Teaching long division of 357÷19 for relational understanding
Base 10 place value system
(a) Where is early evidence of the base 10 place value system? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give some detail of the base 10 place value system. (2)
(d) When in CAPS do learners start learning the base 10 place value system? (1)
Multiplication and division
(a) Where do we find early evidence of multiplication and division? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how people multiplied and divided in your example. (2)
(d) Where in CAPS do learners start multiplying and dividing? (1)
Geometry
(a) Where in the world do we find some early evidence of geometry? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how geometry was practiced in your example. (2)
(d) Where in the CAPS is this type of geometry covered as a topic? (1)
Measurement
(a) Where in the world do we find evidence that people measured things? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how measuring was done in that time. (2)
(d) Where in CAPS is this type of measurement covered as a topic? (1)
Counting
(a) Where in the world do we find some early evidence that people counted? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how counting was done in the example which you chose. (2)
(d) Where in CAPS is this type of counting covered as a topic? (1)
Show that the relation <u, v> = u1v1 - u1v2 - u2v1 + 4u2v2, where ū = (u1, u2) and v = (v1, v2) are in R², defines an inner product space on R².
A group of the following students got the following score in a test:6,9,12,15,and 18.compute the mean of the sample mean
(a) state the null and alternative hypotheses, (b) compute the test
statistic, (c) determine the critical value and sketch the rejection region and non-rejection
region in the normal curve.
1. The cahier of a fast-food restaurant claims that the average amount spent by customers for dinner is
Php 120.00. A sample of 50 customers over a month was randomly selected and it was found out
that the average amount spent for dinner was Php 122.50. Construct the critical regions using a 0.05
level of significance to conclude that the average amount spent by customers is more than Php
120.00. Assume that the population standard deviation is Php6.50.
Given the following information, construct the rejection region. Show the solution in
a step-by-step procedure.
1. H 0 : = 84
H a : 84
m= 87, s= 10, n = 35, "\\alpha" = 0.05
