Example 1

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Good job no need to resubmit- Your objectives are clear, specific, and worthy. You properly labled (categorized your objectives. However, you forgot about 2 categories of Feel & Believe.

Target: First year elementary education major students

Course: Mathematics Education (MTED) 110: The Real Number System for Elementary and

Middle School Teachers

Description: Intro to problem solving processes and strategies. Development and analysis of structure, properties, and operations of real number system. Concept and process development using appropriate models, manipulative, and activities.

Prerequisite: Entry-Level Math (ELM) Examination (GED knowledge in three content areas:

Numbers and Data, Algebra, and Geometry

Prerequisite for the first three chapters:

 Know: Numbers and data; algebra; sets; algebraic symbols; graphs and models (draw, use, interpret); addition, subtraction, multiplication, and division (solve, create, principles, concepts)

Upon the completion of the chapter, the learner will…

1. Sets and Whole-Number Operations and Properties

-P. Do. ...

apply whole numbers and operations involving them to real-life situations such as record keeping, cooking, shopping, and profits calculations.

-P. Decide. Order whole numbers using sets.

-P. Do. Compare whole numbers using sets and one-to-one correspondence (can be inferred from principles)

-S. Know. Identify three different ways to represent numbers.

-P. Create. Draw a Venn diagram that illustrates set A as a proper subset of set B

-S. Know. Cite three examples of an empty set

-S. Know. Describe whole-number comparisons using subsets

-P. Create. Draw a number line that shows ordering of whole numbers.

-P. Do. Find all the subsets of a finite set of whole numbers.

-S. Know. List situations that are described with whole numbers.

-P. Decide. Then, categorize them as discrete or continuous situations.

2. Addition and Subtraction of Whole Numbers

-P. Decide. Differentiate addition and subtraction.

-S. Know. Recall four properties of addition of whole numbers.

-P. Create. Write a story problem that displays the understanding of the operations of addition and subtraction, followed by pictorial or concrete representations.

-P. Create. Draw a Venn diagram to compare and contrast addition and subtraction.

-P. Do. Apply addition and subtraction properties to real-world problems.

-P. Decide. Decide when properties of whole numbers can apply to certain operation but not others.

-S. Know. Define union of two sets, intersection of two sets, and disjoint sets. (pure possession of knowledge)

-P. Create. Formulate subtraction using addition.

-P. Create. Create a word problem with given equations.

-P. Decide. Given the equation, a + b - c + d = e, predict the outcome when a increases or decreases and when c increases or decreases.

3. Multiplication and Division of Whole Numbers

-P. Do. Solve real-world problems using multiplication and/or division

-S. Know. Define multiplication using models and sets.

-S. Know. Recall six properties of multiplication of whole numbers. (pure possession of knowledge)

-P. Do. Solve a division problem using partitioning model and measurement model.

-P. Do. Explain why division by zero is undefined using examples.

-P. Create. Create a Venn diagram to compare and contrast multiplication and division.

-P. Create. Rewrite addition using distributive property of multiplication.

-P. Do. Construct a debate, presenting reasons for and against the approach: the traditional sequence for teaching operations is in the order of addition, subtraction, multiplication, and division. (objective that tries to turn novices into experts)

-P. Create. Write a multiplication equation for given word problems.

-P. Decide. Decide what role multiplication has in base-ten numeration system.

*P for primary, S for secondary

High-valued objectives are in red and unnecessary objectives have a line through in the middle.

I chose some of them as high-value objectives because they enable learners to infer applications, provide basic formulas from which more complex formulas are derived, and guide them to create mental models.

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