# User:Ramm1576

From REU@MU

## Contents

# Laura Ramm

## Personal Information

Laura goes to school at Benedictine College in Atchison Kansas. She is double majoring in Mathematics and Secondary Education and minoring in Accounting. She is currently working with Dr. Marta Magiera on Relational Thinking Strategies of Pre-Service Mathematics Teachers and Their Students. Together with Hannah Guth, Laura is learning more about both Mathematics Education as well as what it will be like to pursue graduate work in the future.

## Readings

**A Cognitive Gap Between Arithmetic and Algebra**by Nicolas Herscovics and Liora Linchevski**How Children View the Equals Sign**by Merlin Behr, Stanley Erlwanger, and Eugene Nichols**Describing and Exploring the Power of Relational Thinking**by Max Stephens**Does Understanding the Equal Sign Matter? Evidence from Solving Equations**by Eric J. Knuth, Ana C. Stephens, Nicole M. McNeil, and Martha W. Alibali**Concepts Associated with the Equality Symbol**by Carolyn Kieran**The Importance of Equal Sign Understanding in the Middle Grades**by Eric J. Knuth, Martha W. Alibali, Shanta Hattikudur, Nicole M. McNeil, and Ana C. Stephens**Middle-School Students’ Understanding of the Equal Sign: The Books They Read Can’t Help**by Nicole M. McNeil, Laura Grandau, Eric J. Knuth, Martha W. Alibali, Ana C. Stephens, Shanta Hattikudur, and Daniel E. Krill**Student Perspectives on Equation: The Transition from School to University**by David Godfrey and Michael O. J. Thomas**Does Proof Prove?: Students' Emerging Beliefs About Generality and Proof in Middle School**by Kristen Bieda, Christopher Holden, and Eric Knuth**Algebra in Elementary School: Developing Relational thinking**by Thomas P. Carpenter, Linda Levi, Megan Loef Franke, and Julie Koehler Zeringue**Measure for Measure: What Combining Diverse Measures Reveals About Children's Understanding of the Equal Sign as an Indicator of Mathematical Equality**by Percival Matthemws, Bethany Rittle-Johnson, Katherine McEldoon, and Roger Taylor

## Week 1

**Research Objectives**

- Orient self with campus
- Familiarize self with proper way to take observational notes and collect data

### Weekly Log

**Tuesday, May 28**

- Attended orientation
- Learned expectations
- Met with Dr. Marta Magiera
- Toured campus
- Filed paperwork

**Wednesday, May 29**

- Met with Dr. Marta Magiera to learn:
- Methodology of coding students’ mathematical thinking
- Methodology of collecting data

- Coded students’ mathematical thinking

**Thursday, May 30**

- Coded students’ mathematical thinking
- Collected data

**Friday, May 31**

- Had team meeting with Dr. Marta Magiera, Dr. van den Kieboom, and Hannah Guth to discuss research and questions that had arisen from work earlier in the week
- Worked out better method of organization
- Learned how to work Wiki
- Worked on Wiki to set up personal page
- Read
**Measure for Measure: What Combining Diverse Measures Reveals About Children's Understanding of the Equal Sign as an Indicator of Mathematical Equality**by Percival Matthemws, Bethany Rittle-Johnson, Katherine McEldoon, and Roger Taylor

## Week 2

### Weekly Log

**Monday, June 3**

- Coded Student's Mathematical Thinking

**Tuesday, June 4**

- Coded Student's Mathematical Thinking
- Downloaded SPSS onto computer & obtained tutorials
**LaTeX and Source Citation Seminar by Dr. Corliss**

**Wednesday, June 5**

- Coded Student's Mathematical Thinking

**Thursday, June 6**

- Had team meeting with Dr. Marta Magiera, Dr. van den Kieboom, and Hannah Guth to discuss research and questions that had arisen from work earlier in the week
- Coded Student's Mathematical Thinking
**Working Lunch**- Started learning SPSS

**Friday, June 7**

- Coded Student's Matematical Thinking
- Began entering data into SPSS

## Week 3

### Weekly Log

**Monday, June 10**

- Coded Students' Mathematical Thinking
- Entered data into SPSS

**Tuesday, June 11**

- Coded Students' Mathematical Thinking
**Good Presentations, Good Technical Writing, and the Difference Between Them Seminar by Dr. Brylow**- Entered data into SPSS
- Began looking for good SPSS Tutorials

**Wednesday, June 12**

- Coded Students' Mathematical Thinking
- Entered data into SPSS
- Began trying out SPSS Tutorials

**Thursday, June 13**

- Had team meeting with Dr. van den Kieboom, and Hannah Guth to discuss research and questions that had arisen from work earlier in the week
- Started work with SPSS
- Entered data into SPSS
- Began working on research paper's Literature review section
**Working Lunch**- Coded Students' Mathematical Thinking

**Friday, June 14**

- Finished Coding Students' Mathematical Thinking
- Entered data into SPSS
- Continued work in learning SPSS

### Weekly Progress Report

## Week 4

### Weekly Log

**Monday, June 17**

- Finished Entering Data into SPSS
- Continued work in Learning SPSS

**Tuesday, June 18**

- Started Research into Factor Analysis

**Wednesday, June 19**

- Researched Factor Analysis

**Thursday, June 20**

- Researched Factor Analysis
**Working Lunch**

**Friday, June 21**

- Researched Factor Analysis
- Started Mini-Presentation work

## Week 5

### Weekly Log

**Monday, June 24**

- Had team meeting with Dr. Marta Magiera, Dr. van den Kieboom, and Hannah Guth to discuss research and questions that had arisen from work earlier in the week
- discussed Mini-Presentations

- Reworked Mini-Presentations
- Researched Factor Analysis

**Tuesday, June 25**

- Preformed Factor Analysis
- Preformed Frequency Tests & Z-Proportion tests
- Finished Mini-Presentation

**Wednesday, June 26**

- Continued preforming Frequency Tests and Z-Proportion tests

**Thursday, June 27**

**Mini Presentations**- Preformed Literature Review

**Friday, June 28**

- Preformed Z-Proportion tests across problems

## Week 6

### Weekly Log

**Monday, July 1**

- Examined related problems 3 & 5, and 6 & 7
- Preformed Z-Proportion tests

**Tuesday, July 2**

**What Makes a Good Poster Seminar by Dr. Magiera**

**Wednesday, July 3**

- Started writing Final Paper

**July 4th-5th**

- Holiday

## Week 7

### Weekly Log

**Monday, July 8**

- Met with Dr. Marta Magiera and reviewed method of Coding Students' Mathematical Thinking.
- Reworked the method for Problems 3 & 5

- Re-Coded Students' Mathematical Thinking on Problems 3 & 5

**Tuesday, July 9**

- Re-Coded Student's Mathematical Thinking on Problems 3 & 5
- Met with Dr. Marta Magiera and reviewed method of Coding Students' Mathematical Thinking
- Reworked the method for Problem 4

**Wednesday, July 10**

- Re-Coded Student's Mathematical Thinking for Problem 4
- Entered new data into SPSS

**Thursday, July 11**

- Met with Dr. Marta Magiera and reivewed method of Coding Students' Mathematical Thinking
- Reworked the method for Problem 2

**Working Lunch**- Re-Coded Student's Mathematical Thinking on Problem 2

**Friday, July 12**

- Met with Dr. Marta Magiera and discussed typographical errors in the data
- Went back to fix typographical errors in the data

## Week 8

### Weekly Log

**Monday, July 15**

- Worked on Final Paper

**Tuesday, July 16**

- Worked on Final Paper

**Wednesday, July 17**

- Worked on Final Paper

**Thursday, July 18**

- Worked on Final Paper
**Working Lunch**

**Friday, July 19**

- Worked on Final Paper

## Week 9

### Weekly Log

**Monday, July 22**

- Worked on Poster

**Tuesday, July 23**

- Revised Poster

**Wednesday, July 24**

- Final revision of Poster

**Thursday, July 25**

- Worked on Final Paper
**Working Lunch**

**Friday, July 26**

- Worked on Presentation and Presentation Abstract

## Week 10

### Weekly Log

**Monday, July 29**

- Worked on Presentation and Presentation Abstract
- Worked on Final Paper

**Tuesday, July 30**

- Worked on Final Paper
**Poster Session**

**Wednesday, July 31**

- Worked on Presentation
- Edited Final Paper

**Thursday, August 1**

- Edited Final Paper
**Formal Presentations**

**Friday, August 2**

- Edited Final Paper
**Formal Presentations**