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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 …


From Zero To Epsilon: My Transformed Real Analysis Course, David Calvis Feb 2024

From Zero To Epsilon: My Transformed Real Analysis Course, David Calvis

The Mathematics Enthusiast

In response to student evaluations I revised my undergraduate course in real analysis to a slides-and-worksheets model. This is the story of that revision, including why and how it was done, together with the results.


M 121.05: College Algebra With Co-Requisite Support, Ian Gonzales Feb 2024

M 121.05: College Algebra With Co-Requisite Support, Ian Gonzales

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Biom 460.01: Ecology Of Infectious Diseases, Angela D. Luis Feb 2024

Biom 460.01: Ecology Of Infectious Diseases, Angela D. Luis

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Soci 318.02: Sociological Research Methods, Jacobs W. Hammond Feb 2024

Soci 318.02: Sociological Research Methods, Jacobs W. Hammond

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Stat 216.00: Introduction To Statistics, Jakob B. Oetinger, Salia S. Rapti, Richard Lennox, Hanna E. Antonsen Feb 2024

Stat 216.00: Introduction To Statistics, Jakob B. Oetinger, Salia S. Rapti, Richard Lennox, Hanna E. Antonsen

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Biob 595.05: Ecological Models And Data Biology, Robert O. Hall Feb 2024

Biob 595.05: Ecological Models And Data Biology, Robert O. Hall

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 162.00: Applied Calculus, Richard A. Darnell Feb 2024

M 162.00: Applied Calculus, Richard A. Darnell

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 162.50: Applied Calculus - Online, Junwei Liao Feb 2024

M 162.50: Applied Calculus - Online, Junwei Liao

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 171.01: Calculus I, Matthew B. Roscoe Feb 2024

M 171.01: Calculus I, Matthew B. Roscoe

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Bfin 322.03: Business Finance, Keith Jakob Feb 2024

Bfin 322.03: Business Finance, Keith Jakob

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Bmkt 694.V61: Digital Media Execution, Emily J. Plant Feb 2024

Bmkt 694.V61: Digital Media Execution, Emily J. Plant

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 562.01: Advanced Theoretical Data Analytics, John Bardsley Feb 2024

M 562.01: Advanced Theoretical Data Analytics, John Bardsley

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Biob 272.00: Genetics And Evolution, Douglas J. Emlen Feb 2024

Biob 272.00: Genetics And Evolution, Douglas J. Emlen

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 105.50: Contemporary Mathematics, Dakota C. Gray Feb 2024

M 105.50: Contemporary Mathematics, Dakota C. Gray

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 132.02: Numbers And Operations For Elementary School Teachers, Shurong Li Feb 2024

M 132.02: Numbers And Operations For Elementary School Teachers, Shurong Li

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 133.01: Geometry And Measurement For K-8 School Teachers, Bharath Sriraman Feb 2024

M 133.01: Geometry And Measurement For K-8 School Teachers, Bharath Sriraman

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 171.02: Calculus I, Joshua D. Johnson Feb 2024

M 171.02: Calculus I, Joshua D. Johnson

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 172.01: Calculus Ii, Kyle Nemeth Feb 2024

M 172.01: Calculus Ii, Kyle Nemeth

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 172.02: Calculus Ii, Jose E. Martinez Feb 2024

M 172.02: Calculus Ii, Jose E. Martinez

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 361.01: Discrete Optimization, Mark Kayll Feb 2024

M 361.01: Discrete Optimization, Mark Kayll

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 472.01: Introduction To Complex Analysis, Karel Stroethoff Feb 2024

M 472.01: Introduction To Complex Analysis, Karel Stroethoff

University of Montana Course Syllabi, 2021-2025

No abstract provided.


M 522.01: Advanced Algebra Ii, Nikolaus Vonessen Feb 2024

M 522.01: Advanced Algebra Ii, Nikolaus Vonessen

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Thtr 255.01: Drafting For Theatre, Michael T. Monsos Feb 2024

Thtr 255.01: Drafting For Theatre, Michael T. Monsos

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Thtr 591.01: Drafting For Theatre - Graduate, Michael T. Monsos Feb 2024

Thtr 591.01: Drafting For Theatre - Graduate, Michael T. Monsos

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Bfin 322.04: Business Finance, Keith Jakob Feb 2024

Bfin 322.04: Business Finance, Keith Jakob

University of Montana Course Syllabi, 2021-2025

No abstract provided.


Bgen 105s.01: Introduction To Business - The Business Safari, Justin W. Angle Feb 2024

Bgen 105s.01: Introduction To Business - The Business Safari, Justin W. Angle

University of Montana Course Syllabi, 2021-2025

No abstract provided.