Math Literacy Modulefacstaff.uwa.edu/ehohn/mathliteracy2014.pdf · 4 2 5 1 3 0011 0010 1010 1101...

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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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Math Literacy Module

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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Math Literacy Module

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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Math Literacy Module

• 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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Math Literacy Module

• 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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Math Literacy Module

• 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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Math Literacy Module

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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Math Literacy Module

• i is used to represent √-1

– This is how we write imaginary numbers:

√-49 = 7i

√-100 = 10i

√-25 = 5i

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Math Literacy Module

• Task for Standard 3

– Complete Standard 3 Practice Set

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Math Literacy Module

• 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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Math Literacy Module

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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Math Literacy Module

See the following word document for an

overview of spatial and proportional

reasoning

Proportional and Spatial Reasoning

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Math Literacy Module

• Task for Standard 4

– Complete Standard 4 Practice Set

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Math Literacy Module

• Standard 5

– Knowledge of metric and customary

measurement

– Knowledge of fundamental geometric concepts,

including shapes and their properties and

relationships

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Math Literacy Module

• 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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Math Literacy Module

• Task for Standard 5

– Complete Standard 5 Measurement Practice Set

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Math Literacy Module

• 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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Math Literacy Module

• Task for Standard 5

– Complete Standard 5 Geometry Practice Set

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Math Literacy Module

• Standard 6

– Solve problems using different strategies, to

verify and interpret results, and to draw

conclusions

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Math Literacy Module

• Go to the following website to view

examples of several problem solving

strategies.

http://www.mathstories.com/strategies.htm

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Math Literacy Module

• Task for Standard 6

– Complete Standard 6 Practice Set

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Math Literacy Module

• 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…