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Connecting with Basic Knowledge Mary Parker & Colleen Hosking Austin Community College

Connecting with Basic Knowledge Mary Parker Colleen Hosking Austin Community College

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Some Example Concepts/Skills  Constructing graphs  Interpreting graphs  Knowing what prerequisite skills they are lacking  Concept of “randomness”  Making sense of how data can be relevant to real-life questions

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Page 1: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Connecting with

Basic KnowledgeMary Parker & Colleen HoskingAustin Community College

Page 2: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

What prior knowledge and

experiences are we assuming our students have

that some of them don’t have?

Page 3: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Some Example Concepts/SkillsConstructing graphs Interpreting graphsKnowing what prerequisite skills

they are lackingConcept of “randomness”Making sense of how data can be

relevant to real-life questions

Page 4: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Start with dotplotsComparing graphs Interactive appletsPrerequisite Review SheetScaffolding questionsConnecting students to statistics

contextsMake up data to fit a scenario

Examples of Our Solutions

Page 5: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Example: Comparing Graphs

Page 6: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Example: Comparing Graphs

The original version of this work was developed by the Charles A. Dana Center at the University ofTexas at Austin under sponsorship of the Carnegie Foundation for the Advancement of Teaching.This work is used (or adapted) under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) license: creativecommons.org/licenses/by-nc-sa/3.0.For more information about Carnegie’s work on Statway, see www.carnegiefoundation.org/statway;for information on the Dana Centers work on The New Mathways Project, seewww.utdanacenter.org/mathways.

Page 8: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Example: Prerequisite Reality Check

Page 9: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Example: Prerequisite Reality Check

Page 10: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Connections: Real-life context & interpreting graphs

Page 11: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

(1) Captain Crunch has the lowest Consumer Reports rating of the 77 cereals in the data set. How much fat is in a serving of Captain Crunch?

(2) In this set of 77 cereals, Product 19 has the most sodium in a serving. What is the rating for Product 19?

(3) All-Bran Extra Fiber is the cereal with the highest rating. How much sugar, fat, and sodium are in a serving of All-Bran Extra Fiber?

The original version of this work was developed by the Charles A. Dana Center at the University ofTexas at Austin under sponsorship of the Carnegie Foundation for the Advancement of Teaching.This work is used (or adapted) under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) license: creativecommons.org/licenses/by-nc-sa/3.0.For more information about Carnegie’s work on Statway, see www.carnegiefoundation.org/statway;for information on the Dana Centers work on The New Mathways Project, seewww.utdanacenter.org/mathways.

Connections: Real-life context & interpreting graphs

Page 12: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Start with dotplotsComparing graphs Interactive appletsPrerequisite Review SheetScaffolding questionsConnecting students to statistics

contextsMake up data to fit a scenario

Examples of Our Solutions

Page 13: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

BrainstormWhat are some important concepts/skills your weaker students don’t have when they come to class?

Page 14: Connecting with Basic Knowledge Mary Parker  Colleen Hosking Austin Community College

Activity: How will you address this gap?1. Choose 1 concept/skill you think is important2. Prepare an outline of how you might address

this in your class in such a way that brings weaker students up to speed. This can be:

A class activity A class presentation/brief lecture A take-home assignment Part of a prerequisite review Addition to existing activity/lecture

3. What are some questions you can use to assess whether students are making the appropriate advances/connections?