Teaching Mathematics with the Internet Workshop 1999
Data Collection, Analysis, Proportion, and Number sense
by
Aniekan Ebiefung, Ph.D
Goals
-
To broaden students' understanding of population and food supply problems
in
different countries.
-
To show how mathematics can be used to solve and or understand real
life
problems.
-
To involve students in research and discovery activities.
Rationale
The student will apply mathematical reasoning to solve problems that relate
to
other areas of human endeavor. This leads to more appreciation of the
value of
mathematics education.
Objectives
-
The student will be able to search for information about the
population,
landmass, and food supply of different countries on the Net.
-
The student will be able to represent the information collected pictorially
and
symbolically.
-
The students will be able to compute ratios and proportions based on
the
information obtained.
-
The student will be able to give interpretations and make sense of the
ratios
and proportions computed.
Methodology
-
The student search the Net for information regarding the population, land
area,
and annual food production of the countries selected by the student or
by the
teacher.
-
The student is guided to represent the information pictorially in
different
forms. For example, table, circle graph, and or bar graph can be
used to
represent the information.
-
The student is coached to compute different ratios:
-
Amount of food produced in tons divided by the land area.
-
Amount of food produced in tons divided by the population.
-
The land area divided by the number of people in the country.
-
The student computes different proportions:
Assume USA is one of the
countries in the study.
-
If the US ratios are considered as the base, how many people should live
in
the other countries so that there is a fair distribution of food?
-
Compute other proportions using the ratios from other countries and answer
the
question posed in (a).
-
Other Proportions: Divide the class into groups proportional to the
population
of the different countries.
Example: Suppose there are four countries A, B, C, D with
food/population
ratios of a, b, c, d, and 25 students in the class. Then
the number of
students representing country A, denoted x, can be obtained
from the equations
a/(a+b+c+d) = x/25.
Questions
-
If Santa gives the class 75 bags of fruit candies, how many would each
group
have?
-
If your group have less fruit candies than other groups, how would you feel?
-
If your group have more fruit candies than other groups, how would you feel?
-
What factors affect the food production of different countries?
-
Give suggestions on ways to improve food production in different countries?
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