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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
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
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