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Math Literacy Module
Alabama Quality Teaching
Standards
University of West Alabama
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Math Literacy Module
• Overview of the module
– Introduction to each of the mathematical
standards required by the State of Alabama
– Practice problems for each standard
– End-of-module assessment
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Math Literacy Module
The Alabama Quality Teaching Standards (AQTS) require that prospective teachers exhibit proficiency in the following areas of math literacy
1. Knowledge of the role that mathematics plays in everyday life
2. The ability to communicate with others about mathematical concepts, processes, and symbols
3. Knowledge of the concepts and relationships in number systems
4. Knowledge in the appropriate use of various types of reasoning
5. Knowledge of metric and customary measurement and fundamental geometric concepts
6. The ability to solve problems using different strategies
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Math Literacy Module
• Table of Contents
– Standard 1
– Standard 2
– Standard 3
– Standard 4
– Standard 5
– Standard 6
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Math Literacy Module
Standard 1
Knowledge of the role that mathematics plays in everyday life.
Standard 2
Communicate with others about mathematical concepts, processes, and symbols
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Think of ways you have used math today:
• What’s the latest time I can get up and still get to work or school on time?
• Do I have enough change to purchase a newspaper?
• Check the temperature – do I need a jacket?
• How much over the speed limit am I driving?
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As you view the following youtube video, identify three different ways in which mathematics is part of our lives in interesting ways…
https://www.youtube.com/watch?v=HtqlIVN9bh8
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• Task for Standard 1 and 2
Find two lesson plans in your content area in which math
is an integral part of the lesson. Write a paragraph about
each lesson plan explaining what math is involved in the
lesson, and why that math is important in everyday life.
http://alex.state.al.us/
Submit lesson plans and paragraphs to your instructor.
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• Standard 3
Knowledge of the concepts and relationships in number systems
The human numbering system is complex, but where did it originate? See this link for a quick trip through the history of number systems…
http://www.math.wichita.edu/history/topics/num-sys.html
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• Let’s first look at the Real Number
system…
http://www.uiowa.edu/~examserv/mathmatt
ers/tutorial_quiz/arithmetic/realnumbersyste
m.html
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There is another set of numbers known as
imaginary numbers. Imaginary numbers were
conceived in response to the question of whether
or not we could think about the square root of
negative numbers, like √-81
√-81 is imaginary because there is no number
that can be multiplied by itself and result in a
negative product ( 9 x 9 = +81 and -9 x -9 = +81,
there’s no way to get -81 by squaring a number)
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• i is used to represent √-1
– This is how we write imaginary numbers:
√-49 = 7i
√-100 = 10i
√-25 = 5i
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• Task for Standard 3
– Complete Standard 3 Practice Set
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• Standard 4
Knowledge of the appropriate use of various types of reasoning
• Inductive
• Deductive
• Spatial
• Proportional
Understanding valid and invalid forms of reasoning
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See the following website for an overview
of inductive and deductive reasoning.
– http://www.thatquiz.org/tq/previewtest?Y/Z/L/
T/14841329498191
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See the following word document for an
overview of spatial and proportional
reasoning
Proportional and Spatial Reasoning
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• Task for Standard 4
– Complete Standard 4 Practice Set
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• Standard 5
– Knowledge of metric and customary
measurement
– Knowledge of fundamental geometric concepts,
including shapes and their properties and
relationships
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• Metric and Customary Measurements– As a refresher, work through the practice exercises at
the following website:
• http://www.studyzone.org/testprep/math4/d/measure4l.cfm
• Click on Let’s Practice at the bottom of the page for practice problems.
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• Task for Standard 5
– Complete Standard 5 Measurement Practice Set
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• Fundamental Geometric Concepts
– Read the information on the following website
http://www.wtamu.edu/academic/anns/mps/math/
mathlab/beg_algebra/beg_alg_tut33_geom.htm
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• Task for Standard 5
– Complete Standard 5 Geometry Practice Set
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• Standard 6
– Solve problems using different strategies, to
verify and interpret results, and to draw
conclusions
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• Go to the following website to view
examples of several problem solving
strategies.
http://www.mathstories.com/strategies.htm
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• Task for Standard 6
– Complete Standard 6 Practice Set
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• Now that you have reviewed all AQTS
math literacy standards, you are ready to
take the end-of-module assessment
• Log in to Blackboard and take test…
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