The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. **Authors do not need to be affiliated with the University of Montana in order to publish in this journal.** **Please send all submissions and correspondence to the editor, Professor Bharath Sriraman.**

# Current Issue: Volume 14, Numbers 1, 2, & 3 (January 2017)

“The end is in the beginning and lies far ahead." - Ralph Ellison (1914-1994)

## Editorial

Editorial: All good things come in three

Bharath Sriraman

## Articles

A commentary on Freudenthal’s didactic phenomenology of the mathematical structures associated with the notion of measurement

Omar Hernandez Rodriguez and Jorge Lopez Fernandez

Studying “moments” of the Central Limit theorem

Benjamin A. Stark

The Historical Connection of Fourier Analysis to Music

Shunteal Jessop

Linking pre-service teachers’ questioning and students’ strategies in solving contextual problems: A case study in Indonesia and the Netherlands

Rahmah Johar, Sitti Maesuri Patahuddin, and Wanty Widjaja

Mathematical Modeling Cycles as a Task Design Heuristic

Jennifer A. Czocher

Examining the interaction of mathematical abilities and mathematical memory: A study of problem-solving activity of high-achieving Swedish upper secondary students

Attila Szabo and Paul Andrews

Critical Examination of Ways Students Mirror the Teacher’s Classroom Practice: What Does It Mean to be Successful at Mathematics?

Paula Guerra and Woong Lim

A Symbolical Approach to Negative Numbers

Paul M.E. Shutler

Subtraction involving negative numbers: Connecting to whole number reasoning

Laura Bofferding and Nicole Wessman-Enzinger

Coherence and enrichment across the middle and secondary levels: Four mathematically authentic learning experiences

Keith A. Nabb and Jaclyn M. Murawska

On the definition of linear independence

Yonah Cherniavsky and Artour Mouftakhov

Students’ Reactions to Reform Mathematics Pedagogy in a Postsecondary Remedial Mathematics Course

Luke Smith, W. Gary Martin, Anna Wan, and Gilbert Duenas

Rational Number Operations on the Number Line

Christopher Yakes

Mathematical Creativity for the youngest school children: Kindergarten to third grade teachers’ interpretations of what it is and how to promote it

Yinjing Shen and Carolyn Pope Edwards

Numberlines: Hockey Line Nicknames Based on Jersey Numbers

Egan J. Chernoff

Common Core and STEM Opportunities

Lane H. Walker and Helene J. Sherman

A Proposed Local Instruction Theory for Teaching Instantaneous Speed in Grade Five

Huub de Beer, Koeno Gravemeijer, and Michiel van Eijck

Teacher Development and Seventh Graders’ Achievement on Representing and Solving Equations

Sheree T. Sharpe and Analucia D. Schliemann

The Effects of a Project-based Course on Students’ Attitudes Toward Mathematics And Students’ Achievement at a Two-year College

Poranee K. Julian

Developing mental rotation ability through engagement in assignments that involve solids of revolution

Atara Shriki, Ruthi Barkai, and Dorit Patkin

Forms of Knowledge of Advanced Mathematics for Teaching

Julianna Connelly Stockton and Nicholas H. Wasserman