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Pre-Service Teachers’ Mathematical Reasoning – How Can It Be Developed?, Alv Birkeland Feb 2019

Pre-Service Teachers’ Mathematical Reasoning – How Can It Be Developed?, Alv Birkeland

The Mathematics Enthusiast

The focus of this study is the mathematical reasoning of pre-service teachers. The author of this paper was the instructor of a class of pre-service teachers preparing to teach in lower secondary school. The instructor divided the class in small groups and gave each group some mathematical exercises to work on. The unit of analysis of this study is the video and audio-recorded dialogue of each group. The aim of this study is to characterize different aspects of pre-service teachers’ mathematical reasoning, as well as to indicate ways to develop their reasoning further. The basic idea of the study is …


Direct Instruction And Problem-Solving: Critical Examination Of Cognitive Load Theory From The Perspective Of Mathematics Education, Adri Treffers Feb 2019

Direct Instruction And Problem-Solving: Critical Examination Of Cognitive Load Theory From The Perspective Of Mathematics Education, Adri Treffers

The Mathematics Enthusiast

On the first page of his well-known “How to solve it” Pólya (1945) writes about problem-solving: "One of the most important tasks of the teacher is to help his students. This task is not quite easy; it demands time, practice, devotion, and sound principles. The student should acquire as much experience of independent work as possible. But if he is left alone with his problem without any help, he may make no progress at all. If the teacher helps too much, nothing is left to the student. The teacher should help, but not too much and not too little, so …


Evaluation Of The Maths Arcade Initiative At Five U.K. Universities, Peter Rowlett, Kingsley Webster, Noel-Ann Bradshaw, James Hind Feb 2019

Evaluation Of The Maths Arcade Initiative At Five U.K. Universities, Peter Rowlett, Kingsley Webster, Noel-Ann Bradshaw, James Hind

The Mathematics Enthusiast

The Maths Arcade is a regular, optional drop-in session to play strategy games and puzzles, taking place at a range of U.K. universities. The main aims are to support students, create a maths-themed staff-student community and develop mathematical thinking through strategy game-play. At some universities, the Maths Arcade has additional aims, including motivating curricular work, linking to peer assisted learning and promoting cross-disciplinary interaction.The games used are strategy games with simple rules which have no explicit link to mathematics but appeal to logical thinking. The games and activities typically used at a Maths Arcade are described and an example of …


Erratum: Corrections To “Coherence And Enrichment Across The Middle And Secondary Levels: Four Mathematically Authentic Learning Experiences”, Keith Nabb, Jaclyn Murawska Feb 2019

Erratum: Corrections To “Coherence And Enrichment Across The Middle And Secondary Levels: Four Mathematically Authentic Learning Experiences”, Keith Nabb, Jaclyn Murawska

The Mathematics Enthusiast

Erratum to 2017 article "Coherence and enrichment across the middle and secondary levels: Four mathematically authentic learning experiences."


M 273.01: Multivariate Calculus, Eric B. Chesboro Feb 2019

M 273.01: Multivariate Calculus, Eric B. Chesboro

University of Montana Course Syllabi, 2016-2020

No abstract provided.


M 524.01: Graduate Linear Algebra, Eric B. Chesboro Feb 2019

M 524.01: Graduate Linear Algebra, Eric B. Chesboro

University of Montana Course Syllabi, 2016-2020

No abstract provided.


Phsx 444.01: Advanced Physics Laboratory, Paul H. Janzen Feb 2019

Phsx 444.01: Advanced Physics Laboratory, Paul H. Janzen

University of Montana Course Syllabi, 2016-2020

No abstract provided.


M 467.01: Data Science Projects, Brian M. Steele Feb 2019

M 467.01: Data Science Projects, Brian M. Steele

University of Montana Course Syllabi

No abstract provided.


M 429.01: History Of Mathematics, Bharath Sriraman Feb 2019

M 429.01: History Of Mathematics, Bharath Sriraman

University of Montana Course Syllabi

No abstract provided.


M 414.01: Deterministic Models, Leonid Kalachev Feb 2019

M 414.01: Deterministic Models, Leonid Kalachev

University of Montana Course Syllabi

No abstract provided.


M 361.01: Discrete Optimization, Mark Kayll Feb 2019

M 361.01: Discrete Optimization, Mark Kayll

University of Montana Course Syllabi

No abstract provided.


M 326.01: Number Theory, Matt B. Roscoe Feb 2019

M 326.01: Number Theory, Matt B. Roscoe

University of Montana Course Syllabi

No abstract provided.


M 307.01: Introduction To Abstract Mathematics, Jennifer L. Brooks Feb 2019

M 307.01: Introduction To Abstract Mathematics, Jennifer L. Brooks

University of Montana Course Syllabi

No abstract provided.


M 234.02: Higher Mathematics For Elementary School Teachers, Ke Wu Feb 2019

M 234.02: Higher Mathematics For Elementary School Teachers, Ke Wu

University of Montana Course Syllabi

No abstract provided.


M 234.01: Higher Mathematics For Elementary School Teachers, Richard A. Darnell Feb 2019

M 234.01: Higher Mathematics For Elementary School Teachers, Richard A. Darnell

University of Montana Course Syllabi

No abstract provided.


M 221.02: Introduction To Linear Algebra, Javier P. Alvaro Feb 2019

M 221.02: Introduction To Linear Algebra, Javier P. Alvaro

University of Montana Course Syllabi

No abstract provided.


M 210.01: Introduction To Mathematical Software, Karel M. Stroethoff Feb 2019

M 210.01: Introduction To Mathematical Software, Karel M. Stroethoff

University of Montana Course Syllabi

No abstract provided.


M 172.03: Calculus Ii, Kelly L. Mckinnie Feb 2019

M 172.03: Calculus Ii, Kelly L. Mckinnie

University of Montana Course Syllabi

No abstract provided.


M 172.02: Calculus Ii, Nikolaus Vonessen Feb 2019

M 172.02: Calculus Ii, Nikolaus Vonessen

University of Montana Course Syllabi

No abstract provided.


M 171.02: Calculus I, Karel M. Stroethoff Feb 2019

M 171.02: Calculus I, Karel M. Stroethoff

University of Montana Course Syllabi

No abstract provided.


M 162.00: Applied Calculus, Leonid Kalachev Feb 2019

M 162.00: Applied Calculus, Leonid Kalachev

University of Montana Course Syllabi

No abstract provided.


M 162.10: Applied Calculus, Lauren S. Fern Feb 2019

M 162.10: Applied Calculus, Lauren S. Fern

University of Montana Course Syllabi

No abstract provided.


M 151.02: Precalculus, Regina P. Souza Feb 2019

M 151.02: Precalculus, Regina P. Souza

University of Montana Course Syllabi

No abstract provided.


M 133.01: Geometry And Measurement For Elementary School Teachers, Bharath Sriraman Feb 2019

M 133.01: Geometry And Measurement For Elementary School Teachers, Bharath Sriraman

University of Montana Course Syllabi

No abstract provided.


M 132.02: Number And Operations For Elementary School Teachers, Richard A. Darnell Feb 2019

M 132.02: Number And Operations For Elementary School Teachers, Richard A. Darnell

University of Montana Course Syllabi

No abstract provided.


M 121.04: College Algebra, Daniel C. Barthelmeh Feb 2019

M 121.04: College Algebra, Daniel C. Barthelmeh

University of Montana Course Syllabi

No abstract provided.


M 121.03: College Algebra, Ian Kit Taboctaboc Nicolas Feb 2019

M 121.03: College Algebra, Ian Kit Taboctaboc Nicolas

University of Montana Course Syllabi

No abstract provided.


M 121.02: College Algebra, Regina P. Souza Feb 2019

M 121.02: College Algebra, Regina P. Souza

University of Montana Course Syllabi

No abstract provided.


M 118.01: Mathematics For Music Enthusiasts, Mark Kayll Feb 2019

M 118.01: Mathematics For Music Enthusiasts, Mark Kayll

University of Montana Course Syllabi

No abstract provided.


M 191.02: St - M 115 Plus, Lauren S. Fern Feb 2019

M 191.02: St - M 115 Plus, Lauren S. Fern

University of Montana Course Syllabi

No abstract provided.