1 / 36

# Developing Math Tasks - PowerPoint PPT Presentation

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

• Performance tasks challenge students to apply their knowledge and skills to respond to complex real-world problems. They can best be described as collections of questions and activities that are coherently connected to a single theme or scenario. These activities are meant to measure capacities such as depth of understanding, writing and research skills, and complex analysis, which cannot be adequately assessed with traditional assessment questions. (Smarter Balanced, 2012)

Type I: Tasks assessing concepts, skills and procedures

Type II: Tasks assessing expressing mathematical reasoning

Type III: Tasks assessing modeling / applications

• Standards context or scenario (MP.4) and can also involve other mathematical practice standards.

• Mathematical Practices (Begin Here)

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning

Common Core

• Begin with Real World and use factual data context or scenario (MP.4) and can also involve other mathematical practice standards.

• Then move to abstract or symbolic

• Do not use distracting graphs, pictures, etc.

• Non Math vocabulary 1 grade level below

• Concise Questions context or scenario (MP.4) and can also involve other mathematical practice standards.

• Time for Exploration

• creating conjectures and understanding

• perplexity or wonder

• Photos or videos are useful

• Allow time for Communication context or scenario (MP.4) and can also involve other mathematical practice standards.

• MP 3 Construct viable arguments and critique the reasoning of others

• Develop roles in small group (facilitator, recorder, manager, reporter)

• Allow think time begin with individual time

• Anticipate Questions

• Set Clear Expectations (consistent)

• Some problems short (opener type)

• Open with a literacy passage to introduce

• Task Name context or scenario (MP.4) and can also involve other mathematical practice standards.

• Standards

• Mathematical Practices

• Create a Rubric or Scoring

• What standard are you trying to address? context or scenario (MP.4) and can also involve other mathematical practice standards.

• What are some real life situations for this age group that is relevant?

• Cell Phones/Mobile devices

• Games

• Sports

• Ask for a survey at beginning of year what they enjoy.

Brain Storm

Do you want to have a Party? context or scenario (MP.4) and can also involve other mathematical practice standards.

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you see?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Now what do you notice?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you see on this picture?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you think?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Now ask them how much they think these items might cost for 1 student?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Notebook: \$1.00

Pack of Paper: \$0.50

Colored Pencils: \$1.50

Scissors: \$2.00

Eraser: \$1.00

Ruler: \$0.50

Pack of Pencils: \$0.50

Folders: \$3.00

Now ask them how much do these items cost for 1 student based on the information provided?

How much would these supplies cost for our class?

How did you calculate that?

Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Notebook: \$1.00

Pack of Paper: \$0.50

Colored Pencils: \$1.50

Scissors: \$2.00

Eraser: \$1.00

Ruler: \$0.50

Pack of Pencils: \$0.50

Folders: \$3.00

How much would these supplies cost for 10 students?

How much would these supplies cost for 100 students?

How much would these supplies cost for 500 students?

How did you calculate each of the above?

• This could be appropriate for any grade one way to make it accessible for a 1st grader is to change it to just calculating how much the supplies are that are dollar amounts.

• Then focus on 1 item that might be \$1.00 to find how much for 10 students or the class question.

• You might want to give them actual play money to represent the money.

Technology In Math accessible for a 1

• Does the tool provide a meaningful model to support the mathematics?

• Does the tool extend students’ thinking and support their learning of the given mathematical topic?

• Is the tool necessary?

• Is the tool easy to use?

• Does the tool provide support for students to engage in and solve a problem?

5 Questions to Ask for Tool Selection

• Virtual Manipulative Library mathematics?

• http://nlvm.usu.edu/en/nav/vlibrary.html

• Illuminations

• Shodor

• http://www.shodor.org/interactivate/activities/

Virtual Manipulatives

• Close to 20, 100, 1000 (from mathematics?pearson)

• Wings (see quick images and comparing)

• Brainbow (fun for teachers and challenging)

• Hungry Fish (good for addition/subtraction starts off easy and gets challenging)

• Hands On Equations

• Math Kid (very basic addition, subtraction, multiplication, and division)

Math and Literacy mathematics?

Math and Literacy

• Webinar from Marilyn Burns

• http://www.slideshare.net/ismes/one-is-a-snail-ten-is-a-crab

• This is the book Marilyn uses

Math Literature

• Today’s Number

• On carpet

• Not writing down possibly

• Math Review (5-7 minutes)

• Lesson (10-15 minutes)

• Whole group

• Problem solving

• Flexible Groups (50-60 minutes)

• Individuals

• Technology (computers, smart board, Ipad, etc.)

• Groups of no more than 4

• Key is students need to have direction!!!!!!

• Closure (5-7 minutes)

• Bring students back to carpet

• Journal Writing

Balanced MathKey is Standards based and Student Centered

• Accountability (students)

• Data Driven Instruction

• (MAPs, anecdotal notes, observations, common assessments)

What Now

• Rothman, R. (July/August 2012). Nine Ways the Common Core Will Change Classroom Practice. Harvard Education Letter. Retrieved from:

http://hepg.org/hel/article/543

• Ramirez, G. Gunderson, E.A., Levine, S.C., Beilock, S.L. Math Anxiety and Working Memory in Elementary School. Journal of Cognition and Development. Retrieved from

http://home.uchicago.edu/~lizgunderson/Publications/Ramirez%20et%20al%20%28in%20press%29%20-%20math%20anxiety.pdf

Reference Page