Map Your Way To Better Thinking Camille Pace Associate Professor - - PowerPoint PPT Presentation

Map Your Way To Better Thinking

Camille Pace Associate Professor of Math, Division Chair Jayme Wheeler Assistant Professor of Math, Division Chair

• Focus on note taking and flow charts/process maps for course design.
• Students are not utilizing their homework problems or class examples where

they can be used as a reference.

• Developing templates for various class formats to help students complete

consistent and organized work.

• Based on the book "Creating Significant Learning Experiences: An Integrated

Approach to Designing College Courses" by Dee Fink.

Purpose and Intent

NOTE-TAKING STRATEGIES

OUTLINE-

• PROS
• Highlights key points of lecture in

a logical way

• Ease of use allows students to

focus

• Give a proper and clean structure

to notes

• CONS
• Not suitable for all subjects
• Doesn’t work well if class or

lecture does not follow a relatively clear structure

• Can be overwhelming to review

later

“best”, most popular, structured,

OUTLINE EXAMPLE

MAIN TOPIC: HYPOTHESIS TESTING

• Quantitative Data ---One Mean
• z-test
• Based on Normal Distribution
• Shape of normal distribution is determined by population mean and population standard deviation
• Used when the population standard deviation is known
• t-test
• Based on Student’s t-Distribution
• Shape of Student’s t-Distribution is determined by number of degrees of freedom
• Used when the population standard deviation is not known
• Qualitative Data –Proportions
• Chi-Square Goodness of Fit
• Based on Chi-Square distribution
• Shape of Chi-Square is determined by number of degrees of freedom
• Used with qualitative (categorical) data

CORNELL (TWO-COLUMN)

• PROS
• Quicker way to take, review, and
• rganize notes
• Summarizes all information

systematically

• Easily extract main ideas or key

concepts

• CONS
• Paper needs to be prepared

ahead of time

• Requires some time at end for

summarization

Great for review, unique page layout, ideal for all types of lecture or meetings

HYPOTHESIS TESTING

Key Words

• z-test
• t-test
• Chi-square

Goodness of Fit

Questions

• Symbol for Chi-

square goodness

• f fit
• Why two

different formulas for degrees of freedom?

Quantitative Data –One Mean z-Test –used when 𝜏 is known, based on 𝑂 𝜈, 𝜏 t-Test—used when 𝜏 is not known, based

• n 𝑢&', 𝑒𝑔 = 𝑜 − 1

Qualitative Data – Proportion Chi-square Goodness of Fit ---used with qualitative data, based on Chi-square goodness of fit distribution, df = k - 1 SUMMARY: Hypothesis Testing is an important statistical analysis tool. There are different tests based on different

• distributions. Which test is used is determined by the type of

data and parameter.

PROCESS MAPS

What are Process Maps

A concept map is a visual organization and representation of knowledge.

• It shows concepts and ideas and the relationships among them.
• You create a concept map by writing key words (sometimes enclosed

in shapes such as circles, boxes, triangles, etc.) and then drawing arrows between the ideas that are related.

• Then you add a short explanation by the arrow to explain how the

concepts are related.

Central Limit Theorem*

A sample size is given Normal and InvNorm (Lesson 14) Standard deviation changes to σ/√𝑜

• 1. The scenarios will be

less than, greater than, between for normalcdf.

• 2. It will ask for a

percentile for the InvNorm question. A sample size is not given Normal and InvNorm (Lesson 13) Standard deviation does not change!

• 1. The scenarios will be

less than, greater than, between for normalcdf.

• 2. It will ask for a

percentile for the InvNorm question Proportions are used to create the standard deviation (use 5 places after decimal) and a sample size is given Normal and InvNorm for proportions (Lesson 15) Test (n) * (p) ≥ 10 and (n) * (1 – (p)) ≥ 10 If true statements, the standard deviation is

/∗(23/) 5

• 1. The scenarios will be less than, greater

than, between for normalcdf. *Always check for the assumptions for each case.

Assessing Process Maps in YOUR class

• Have students submit outline or “mind map” of a particular

topic/unit

• Have students create a process map
• Perfect for discussion activities
• Excellent for merging concepts

Extra Resources

https://ctl.byu.edu/tip/concept-mapping https://learningcenter.unc.edu/tips-and-tools/using-concept-maps/ https://er.educause.edu/articles/2018/3/using-process-mapping-to- redesign-the-student-experience

Questions?

Camille Pace cpace@highlands.edu Jayme Wheeler jwheeler@highlands.edu