Objectives: 1. Examine key considerations regarding the teaching and learning of mathematics. 2. Understand how mathematics skills are organized for teaching and learning. 3. Access mathematics resources.

1. ELEV8 Middle School Youth Program
November 9, 2012
Demetrie Broxton, AmeriCorps Director

2. 1. Examine key considerations regarding the
teaching and learning of mathematics.
2. Understand how mathematics skills are
organized for teaching and learning.
3. Access mathematics resources.

3. 1. Builds on prerequisite knowledge.
2. Literature is a helpful tool.
3. Requires exploration, practice, and a math-
rich environment.
4. Anxiety is natural and curable.

4. Mathematical
knowledge builds
on prerequisite
understanding
and skills.

5. Math in After School

6.  Connects learning to life.
 Enhances career choices and
earning potential.
 Creates financial literacy and money
management skills.

7. Books based on math concepts can:
 Create a context for a math activity.
 Introduce, review, or reinforce
a math concept.
 Present math in creative ways.

8.  Reference and literature books
 Visual aids
 Computer-based resources
 Study guides
 Instructional DVDs
 Calculators
 Geometry sets
 Journals
 Manipulatives

9. Manipulative Image Possible Application
Counters Addition
Subtraction
Estimation
Base Ten Blocks/Cubes Place Value
Multiplication
Division
Attribute Blocks Geometric Shapes
Patterns
Visual/Spatial Sense
Fraction Circles Fractions
Decimals
Percents

10.  Choose manipulatives according to the
objectives.
 Explain and review the concept.
 Allow exploration, discovery, and discussion
time.
 Connect the manipulatives to writing.
 Have a management plan.

12. 1. Empower all students to do their best.
2. Explore actual applications.
3. Exhibit a positive attitude.

13. Jayden is a sixth-grade student who is
struggling with division. He takes a long time
to solve problems, makes computational
errors, and lacks confidence in his answers.
a
What are some of the considerations that
might help Jayden?

14. Jayden needs:
 Ample practice with facts to build up his
ability to divide.
 Access to multiplication and addition charts
and manipulatives.
 Division posters or study aids.
 Instructional videos or computer-based
games for support.
 Picture books about division.

16. Five Strands Through Grade 7
1) Number Sense
2) Algebra and Functions
3) Measurements and Geometry
4) Statistics, Data Analysis, and
Probability
5) Mathematical Reasoning
Disciplines in Grades 8-12
 Algebra I, Geometry, Algebra II
 Guidance for math
 instruction and assessment

17. C.C.S.S. Processes and Proficiencies
 Make sense of problems and persevere in solving
them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the
reasoning of others.
 Model with mathematics.
 Use appropriate tools strategically.
 Attend to precision.
 Look for and make use of structure.
 Look for and identify ways to create shortcuts
when doing problems.

18.  Counting
 Place value
 Arithmetic
 Money
 Positive and negative integers
 Rounding and estimation

19.  Sort values
 Classify values
 Use number sentences
 Understand the
meaning of symbols

20.  Shapes
 Area
 Perimeter
 Length
 Width
 Weight
 Volume
 Distance
 Formulas

21.  Patterns
 Graphing
 Estimation
 Averages

22.  Problem solving
 Reasoning
 Communicating
 Modeling math
 Using tools
 Being precise
 Using structure
 Applying shortcuts

23. How can you help students in your cohort
improve their problem solving abilities?
Hint: Remember—this is not about
computation. It is about helping students to
think strategically.
(Answers will vary)

24.  Engage students in
collaborative problem solving
 Use real-life problems
 Use technology
 Invite students to explain their
reasoning verbally and/or visually
 Allow them to experiment with
manipulatives and tools
 Emphasize the need to be
precise/accurate

25. California After School Resource Center:
http://californiaafterschool.org/search