Data Analysis

DATA ANALYSIS

By the Members of Group 4:

Erin Shaffer

Lavon Holland

Meagan Reed

Please Do Now:

Take the following poll:

www.polleverywhere.com

To access:

Poll Question:

“Where were you most effective getting work done for “Math in the School Program?”

Let’s take a look at our results………....

Teaching Data Analysis

Planning for Focused Instruction:

“The amount of statistical information available to help make decisions in business, politics, research, and everyday life is staggering.”

Such as: Consumer surveys guide the development and marketing

of products. Experiments evaluate the safety and efficacy of new

medical treatments. Statistics sway public opinion on issues and represent--or

misrepresent--the quality and effectiveness of commercial products.

Planning for Focused Instruction:

“Through experiences with the collection and analysis of data, students learn how to interpret such information.”

“Young children will not develop statistical reasoning if it is not included in the curriculum. Work in data analysis and probability offers a natural way for students to connect mathematics with other school subjects and with everyday experiences.” (NCTM)

Objective and Rational for Teaching Data Analysis:

Therefore, students should be able to…..

formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them;

select and use appropriate statistical methods to analyze data;

develop and evaluate inferences and predictions that are based on data (NCTM).

Objective and Rational for Teaching Data Analysis:

In other words, students should be able to…

Collect data (surveys and experiments)Display data (graphs – i.e. bar graph)Analyze data (find landmarks – i.e. mean)

○ Also includes: ‘data sense’ and being able to identify misleading information

References: NCTM – Standards Overview for Data Analysis and

Probability:

http://www.nctm.org/standards/content.aspx?id=26856 PDE – SAS webpage for Standards:

http://www.pdesas.org/Standard/Views

Additional Resources:

Textbooks: Everyday Math (2004) – 6th Grade: Teacher’s

Manual, Math Masters, Home Connection Handbook, Assessment Handbook

Helping Children Learn Mathematics, by: Reys, Lindquist, Lambdin, and Smith (2007)

Math Specialists: Miss Aitken – mentor at Northeastern S.D. Mrs. Grimm – teacher on leave, during long-term

substitute at Dover Area S.D.

Engaging Tasks and Materials for the classroom: Kinesthetic:

M&M data collection, use M&Ms (website) Make yarn broken-line graphs, lesson 1.5 (EDM) Family Garden Bar Graph, from colleague (Mrs. Grimm, Dover Area S.D.) – use

pictures of family Form a Human Circle Graph, lesson 1.8 Raisin Lesson (Grade 4 of EDM) Manipulative (ex: connecting cubes, paper clips, sticky notes) for graphing (textbook-

Helping Children) Analyze graphs found in magazines, newspapers (lesson 1.6 of EDM) Play Landmark Shark game (lesson 1.4 of EDM)

http://media.emgames.com/emgames/demosite/playdemo.html?activity=M5A006&activitytype=dcr&level=3

Teaching Mathematics Through Dance and Movement

http://www.ncpublicschools.org/curriculum/artsed/resources/handbook/dance/28integration#teaching Search for persuasive and misleading information (lesson 1.10 of EDM) Take class polls and create line plots around the room (lesson 1.2 of EDM) www.polleverywhere.com

Engaging Tasks and Materials for the classroom:

Auditory:

Teacher questioningChildren’s Literature:

○ People by Peter Spier ○ Play Ball: Sports Math by Time-Life Books

Engaging Tasks and Materials for the classroom:

Visual:

• Powerpoint on Mean vs. Median – from colleague (Miss Aitken, Northeastern S.D.)

• Demonstration of Mean and Median using excel, lesson 1.3

• Whiteboards (solve given a data set provided by teacher)

• Math vocabulary (worksheet) – from EDM, Unit #1 (provided by mentor teacher, Miss Aitken)

• Create a step graph using math master pg. 10 (lesson 1.8 of EDM)

Example Activity #1Landmark Shark Game (EDM – 2004)Objective: TSW find range, median, mode, and mean of a set of numbers.

Materials: 1 deck of cards, 1 each of range, median, mode cards (for each player), score sheet (2-3 players)

Directions:

1) The dealer shuffles and deals 5 cards facedown to each player. Each player puts cards in order from smallest to largest.

2) There are 3 ways to score points: range, median, or mode is used as the player’s score….each player decides which of the 3 landmarks will yield the highest score for their hand. They indicate their choice by showing the dealer this card.

3) Players can try and improve their score by exchanging up to 3 of their 5 cards for new ones, but the landmark card stays.

4) Their scores are then recorded, but bonus points may be earned at this point. Each player calculates their mean of their cards and then records (to the nearest tenth) their points and add those points to their score sheet as well.

5) Repeat steps #1-4 for each round. The winner is the one with the highest score after 5 total rounds.

Example Activity #2Teaching Data Analysis Through Dance/MovementObjective: TSW calculate range, median, and mode through

dance steps.

Materials: music, cd player, vinyl numbers on floor (1-10), recording sheet (per student)

Directions:

1) Student stands on vinyl number (note color).

2) When music plays count as you move (either by hopping, skipping, or walking) the number of steps taken to the next vinyl number of the same color that they can find.

3) Repeat 10 times and record number of steps each time.

4) Calculate median, range, and mode of number of steps taken.

Summary: Our goal as teachers is to help students see the bigger

picture and apply deeper connections to data analysis and the real world.

Using these activities and resources students will be more engaged in the process of data analysis, therefore being able to discriminate data that they may encounter on their own.

*Handout summary sheet to class.

**Wiki URL: http://datasense.wikispaces.com

From Cross Validatedhttp://stats.stackexchange.com/questions/423/what-is-your-favorite-data-analysis-cartoon

From Cross Validatedhttp://stats.stackexchange.com/questions/423/what-is-your-favorite-data-analysis-cartoon

From Cross Validatedhttp://stats.stackexchange.com/questions/423/what-is-your-favorite-data-analysis-cartoon

From Cross Validatedhttp://stats.stackexchange.com/questions/423/what-is-your-favorite-data-analysis-cartoon

From Cross Validatedhttp://stats.stackexchange.com/questions/423/what-is-your-favorite-data-analysis-cartoon

Questions???