Summer Reading MEA Teacher Materials PDF

7/24/2019 Summer Reading MEA Teacher Materials PDF

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TOPICMathematical Connections and Problem Solving

KEYQUESTION

How do you create a procedure for deciding thewinner of a summer reading contest based on thenumber of books read, the variety of books, thedifficulty of the books, the length of the books,and the quality of written book reports?

LEARNINGGOALSStudents will:

Use non-numeric data to create a system forassigning reading points

Consider how to use and exclude data

Make decisions about whether or not asolution meets the needs of a client

Communicate the solution clearly to theclient

GUIDING DOCUMENTSThis activity has the potential to address manymathematics and science standards. Please seepages 4-6 for a complete list of mathematics andscience standards.

RECOMMENDED SUPPLIES FOR ALLMODEL-ELICITING ACTIVITIESIt is recommended to have all of these supplies in a central

location in the room. It is recommended to let the students

know that they are available, but not to encourage them to

use anything in particular.

Overhead transparencies and transparencymarkers/pens, whiteboards and markers,posterboards, or other presentation tools suchas a document camera.

CalculatorsRulers, scissors, tape

Markers, colored pencils, pencils

Construction paper, graph paper, lined paper

Paper towels or tissues (for cleaningtransparencies)

Manila folders or paper clips for collecting thestudents work

Optional: Computers with programs such asMicrosoft Word and Excel

WHAT ARE MODEL-ELICITING

ACTIVITIES (MEAs)?Model-Eliciting Activities are problem activitiesexplicitly designed to help students developconceptual foundations for deeper and higherorder ideas in mathematics, science, engineering,and other disciplines. Each task asks students tomathematically interpret a complex real-worldsituation and requires the formation of amathematical description, procedure, or methodfor the purpose of making a decision for a realisticclient. Because teams of students are producing a

description, procedure, or method (instead of aone-word or one-number answer), studentssolutions to the task reveal explicitly how theyare thinking about the given situation.

THE Summer Reading MEA CONSISTS OFFOUR COMPONENTS:1) Newspaper article: Students individuallyread the newspaper article to become familiarwith the context of the problem. This handout ison page 7.

2) Readiness questions: Students individuallyanswer these reading comprehension questionsabout the newspaper article to become evenmore familiar with the context and beginningthinking about the problem. This handout is onpage 8.3) Problem statement: In teams of three orfour, students work on the problem statementfor 45 90 minutes. This time range depends onthe amount of self-reflection and revision youwant the students to do. It can be shorter if you

are looking for students first thoughts, and canbe longer if you expect a polished solution andwell-written letter. The handouts are on pages 9-12.4) Process of sharing solutions: Each teamwrites their solution in a letter or memo to theclient. Then, each team presents their solution tothe class. Whole class discussion is intermingled


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Standards for Mathematical Practices

integration with MEAsMathematical Practice How it occurs in MEAs

1. Make sense of

problems and persevere

in solving them.

As participants work

through iterations of their

models they continue to

gain new insights intoways to use mathematics

to develop their models.

The structure of MEAs

allows for participants to

stay engaged and to havesustained problem

solving experiences.

2. Reason abstractly and

quantitatively

MEAs allow participants

to both contextualize, by

focusing on the real

world context of the

situation, and

decontextualize byrepresenting a situation

symbolically.

3. Construct viable

arguments and critique

the reasoning of others.

Throughout MEAs while

groups are working and

presenting their models.

4. Model with

mathematics.

This is the essential focus

of MEAs; for participantsto apply the mathematics

that they know to solve

problems in everyday

life, society, or the

workplace. This is done

through iterative cycles

of model construction,

evaluation, and revision.

5. Use appropriate tools

strategically.

Materials are made

available for groups as

they work on MEAs

including graph paper,

graphing calculators,

computers, applets,

dynamic software,

spreadsheets, and

measuring devices.6. Attend to precision. Precise communication isessential in MEAs and

participants develop the

ability to communicate

their mathematical

understanding through

different representations

including written, verbal,

symbolic, graphical,

pictorial, concrete, and

realistic.

7. Look for and make

use of structure.

Participants in MEAs can

use their knowledge of

mathematical propertiesand algebraic expressions

to develop their

solutions.

8. Look for and express

regularity in repeated

reasoning.

As participants develop

their models the patterns

they notice can assist in

their model development.


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Documents

Summer Reading MEA Teacher Materials PDF