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An Analysis Of Graduate Teaching Assistants’ Noticing Skills During Calculus And Physics Tutoring Scenarios, Lindsay Borger, M. J. Camarato, Molly H. Fisher Feb 2024

An Analysis Of Graduate Teaching Assistants’ Noticing Skills During Calculus And Physics Tutoring Scenarios, Lindsay Borger, M. J. Camarato, Molly H. Fisher

The Mathematics Enthusiast

Professional noticing of mathematical thinking, as defined by Jacobs, Lamb, and Philipp (2010) can be broken down into three components: attending to relevant cues, interpreting the mathematical understanding, and deciding the next best instructional steps. Most research on this topic has been conducted with elementary children. However, there is a gap in the research on professional noticing at more advanced levels, particularly college students. The purpose of this study was to take the concept of professional noticing and apply it to mathematics education at the post-secondary level. Specifically, the question we sought to answer in this study was: To what …


Displaying Gifted Students’ Mathematical Reasoning During Problem Solving: Challenges And Possibilities, Attila Szabo, Ann-Sophie Tillnert, John Mattsson Feb 2024

Displaying Gifted Students’ Mathematical Reasoning During Problem Solving: Challenges And Possibilities, Attila Szabo, Ann-Sophie Tillnert, John Mattsson

The Mathematics Enthusiast

When solving problems, mathematically gifted individuals tend to internalize intuitive ideas and approaches, and to shorten their reasoning. Consequently, for teachers it is difficult to observe gifted students’ mathematical reasoning in the context of problem solving. In this paper we investigate nine gifted Swedish 9th grade students’ mathematical reasoning during problem solving in small groups at vertical whiteboards. The data consists of 5 filmed group-activities, that were analysed according to a framework of collaborative problem-solving (Roschelle & Teasley, 1995). The analysis shows that every group solved proposed problems successfully within different socially negotiated Joint Problem Spaces (JPS) and, importantly, that …


The Spirit Of Mathematical Modeling – A Philosophical Study On The Occasion Of 50 Years Of Mathematical Modeling Education, Peter Frejd, Pauline Vos Feb 2024

The Spirit Of Mathematical Modeling – A Philosophical Study On The Occasion Of 50 Years Of Mathematical Modeling Education, Peter Frejd, Pauline Vos

The Mathematics Enthusiast

We mark the 50th anniversary of mathematical modeling education by reviving the term the spirit of mathematical modeling (SoMM), which idealistically reflects core aspects of mathematical modeling. The basis of our analysis is the notion of bildung, which is an educational philosophy that strives for harmonizing heart, mind, social life and culture. We built SoMM on five descriptions of mathematical modeling: two research studies from the 1970s, two studies about the work of professional modelers, and one about an environmental school project. We captured SoMM as a collection of aspects at the micro, meso and macro level: at the micro …


The Field Q And The Equality 0.999. . . = 1 From Combinatorics Of Circular Words And History Of Practical Arithmetics, Benoit Rittaud, Laurent Vivier Feb 2024

The Field Q And The Equality 0.999. . . = 1 From Combinatorics Of Circular Words And History Of Practical Arithmetics, Benoit Rittaud, Laurent Vivier

The Mathematics Enthusiast

We reconsider the classical equality 0.999 . . . = 1 with the tool of circular words, that is, finite words whose last letter is assumed to be followed by the first one. Such circular words are naturally embedded with algebraic structures that enlight this problematic equality, allowing it to be considered in Q rather than in R. We comment early history of such structures, that involves English teachers and accountants of the first part of the 18th century, who appear to be the firsts to assert the equality 0.999 . . . = 1. Their level of understanding show …


Coun 530.03: Applied Counseling Skills (Practicum), Kelley M. Donisthorpe Feb 2024

Coun 530.03: Applied Counseling Skills (Practicum), Kelley M. Donisthorpe

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 530.05: Applied Counseling Skills (Practicum), Amy L. Friedman Feb 2024

Coun 530.05: Applied Counseling Skills (Practicum), Amy L. Friedman

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 530.06: Applied Counseling Skills (Practicum), Shannon Lollar Feb 2024

Coun 530.06: Applied Counseling Skills (Practicum), Shannon Lollar

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 566.01: Counseling Children And Adolescents In Schools, Jayne Mumbauer, Knabi F. Knippling Feb 2024

Coun 566.01: Counseling Children And Adolescents In Schools, Jayne Mumbauer, Knabi F. Knippling

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 575.01: Multicultural Counseling, Shannon Lollar Feb 2024

Coun 575.01: Multicultural Counseling, Shannon Lollar

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 585.02: Counseling Methods Internship, Emily K. Sallee, Allison Bristow, Kanbi F. Knippling Feb 2024

Coun 585.02: Counseling Methods Internship, Emily K. Sallee, Allison Bristow, Kanbi F. Knippling

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Coun 615.01: Diagnosis And Treatment Planning, Adrienne A. Tauses Feb 2024

Coun 615.01: Diagnosis And Treatment Planning, Adrienne A. Tauses

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edec 295.01: Preschool Field Experience - Learning And Belonging (Lab), Krisitn D. Horejsi Feb 2024

Edec 295.01: Preschool Field Experience - Learning And Belonging (Lab), Krisitn D. Horejsi

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edec 408.50: Principles And Practice In Early Childhood Education, Jennifer M. Ross Feb 2024

Edec 408.50: Principles And Practice In Early Childhood Education, Jennifer M. Ross

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edec 508.00: Principles And Practice In Early Childhood Education, Jennifer M. Ross Feb 2024

Edec 508.00: Principles And Practice In Early Childhood Education, Jennifer M. Ross

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edec 520.00: Meeting Standards Through Play-Based Environments, Allison B. Wilson Feb 2024

Edec 520.00: Meeting Standards Through Play-Based Environments, Allison B. Wilson

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edld 544.50: The College Curriculum, Michaela R. Parker Feb 2024

Edld 544.50: The College Curriculum, Michaela R. Parker

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edld 551.50: Foundations Of Curriculum Leadership, William P. Mccaw Feb 2024

Edld 551.50: Foundations Of Curriculum Leadership, William P. Mccaw

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edld 625.00: Quantitative Research, Erica L. Allen Feb 2024

Edld 625.00: Quantitative Research, Erica L. Allen

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edld 662.50: The History Of Higher Education, Liqin Tang Feb 2024

Edld 662.50: The History Of Higher Education, Liqin Tang

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edld 670.50: Best Practices In International Programs Leadership, Liqin Tang Feb 2024

Edld 670.50: Best Practices In International Programs Leadership, Liqin Tang

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edsp 461.00: Positive Behavior Supports, Morgen J. Alwell Feb 2024

Edsp 461.00: Positive Behavior Supports, Morgen J. Alwell

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edsp 526.50: Introduction To Secondary Transition And Community Supports, Melissa P. Dadmun Feb 2024

Edsp 526.50: Introduction To Secondary Transition And Community Supports, Melissa P. Dadmun

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 331.01: Literacy And Literature For Children, Elisa M. Schroeder Feb 2024

Edu 331.01: Literacy And Literature For Children, Elisa M. Schroeder

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 339.00: Teaching & Assessment In Pk- 8 Language Arts, Dana L. Fitz Gale Feb 2024

Edu 339.00: Teaching & Assessment In Pk- 8 Language Arts, Dana L. Fitz Gale

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 397.01: Methods - Pk-4 Early Numeracy, Robyn M. Nuttall Feb 2024

Edu 397.01: Methods - Pk-4 Early Numeracy, Robyn M. Nuttall

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 438.50: Literacy Assessment, Diagnostics And Instruction, Craig S. Buscher Feb 2024

Edu 438.50: Literacy Assessment, Diagnostics And Instruction, Craig S. Buscher

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 510.50: Developmental And Learning Sciences, Jingjing Sun Feb 2024

Edu 510.50: Developmental And Learning Sciences, Jingjing Sun

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Edu 514.50: Education Across Cultures, Bonnie S. Spence Feb 2024

Edu 514.50: Education Across Cultures, Bonnie S. Spence

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Hee 302.01 Methods Of Instructional Strategies In Elementary Physical Education, Meaghan K. Schrader Feb 2024

Hee 302.01 Methods Of Instructional Strategies In Elementary Physical Education, Meaghan K. Schrader

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Libm 461.50s: Information Literacy, Rafaela Acevedo-Field Feb 2024

Libm 461.50s: Information Literacy, Rafaela Acevedo-Field

University of Montana Course Syllabi, 2021-2025

No abstract provided.