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18.311 Principles of Applied Mathematics, Spring 2003
Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics...
Nonlinear dynamical systemsnonlinear wavesdiffusionstabilitycharacteristics
Very Difficult (19.8)
Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individ
Other
A Concept of Independence with Applications in Various Fields of Mathematics
We use Kolmogorov's algorithmic approach to information theory to define a concept of independence of sequences, or equivalently, the boundedness of their mutual information. This concept is applied to probability theory, intuitionistic logic, and t...
Very Difficult (16.7)
Book
A Cool Brisk Walk Through Discrete Mathematics
A Cool Brisk Walk Through Discrete Mathematics - and its companion site "allthemath" - are completely-and-forever-free-and-open-source educational materials dedicated to the mathematics that budding computer science practitioners actually need to kno...
PureMathematics
Very Difficult (16.0)
CC BY-SA
Book
A Gentle Introduction to the Art of Mathematics
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southe...
PureMathematics
Difficult (11.7)
Free Documentation License (GNU)
Journal Article
A Mathematics education as a systems of society
This essay explores philosophy of mathematics education from a historical sociological perspective. This examines the nature of meaning-making as social systems of mathematics and mathematics education emerge as part of society. To do this I draw on ...
3901 Curriculum and Pedagogy3903 Education Systems39 Education4 Quality Education
Very Difficult (15.3)
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
Journal Article
A case study exploring students' conceptions of proof within a Year 10 Mathematics classroom
The difficulty in the transition to studying mathematics at university has been documented and studied by a number of previous authors. In this paper, one aspect of this transition – the study of mathematical proof – is examined in more depth through...
MathematicsProofMisconceptionsYear 10high attaining
Very Difficult (16.2)
DOI: 10.17863/CAM.109346
Journal Article
A critical analysis of the use of ‘Sumaze!’ within a secondary school mathematics classroom
This case study examines the usefulness of the Sumaze! game for teaching mathematics in secondary school. The game was recently released by Sigma jointly with MEI in December 2015. The study consisted of two lessons which were taught to a year 9 clas...
PGCE SecondaryMathematicsMathClassroomEducation
Easy (7.7)
Journal Article
A non-conformist choice: how young women studying science, technology, engineering, and mathematics in technical institutes in Ghana navigate their education and career decision
The study discussed in this paper investigated how young women studying science, technology, engineering, and mathematics (STEM) courses in upper secondary technical institutes in Ghana made their education and career decisions. The study interviewed...
39 Education3904 Specialist Studies In EducationClinical Research4 Quality Education
Very Difficult (17.6)
Journal Article
Academic buoyancy in secondary school: Exploring patterns of convergence in English, mathematics, science, and physical education
Symplectic Elements at Oxford
Past research into the ability of students to 'bounce back' from everyday academic setback (academic buoyancy) has lacked sensitivity to the contexts in which children demonstrate this behavior. Here we aimed to contextualize past findings by reporti...
Very Difficult (22.3)
Journal Article
Adapting an optimization task for pre-service mathematics teachers in their secondary-tertiary transition in Chile
Eurasia Journal of Mathematics, Science and Technology Education
International audience
[MATH]Mathematics [math]
Book
Advanced Problems in Mathematics
"This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional o...
MathematicsElementary Problemsmake sense of the worldmathematics beyond the classroomMental Skills
Very Difficult (14.8)
Book
Advanced Problems in Mathematics: Preparing for University
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional of...
PureMathematics
Very Difficult (14.7)
CC BY
Book
Advanced Water Mathematics
Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment
Earth Sciences
Very Difficult (16.0)
CC BY
Book
Affect and Mathematics Education
This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview ...
EducationMathematics—Study and teaching Educational psychologyEducation—PsychologyCurriculums (Courses of study)
Very Difficult (17.3)
Journal Article
An intervention program for promoting deaf pupils' achievement in mathematics.
Symplectic Elements at Oxford
Our past research identified two aspects of deaf children's functioning that places them at risk for underachievement in mathematics. The first is their reduced opportunities for incidental learning, and the second is their difficulty in making infer...
Difficult (13.8)
Other
An investigation on how the Scottish teachers for V.I. pupils differentiate Mathematics curriculum through flexible and effective methods of teaching and learning and adaptations and modifications, and support to meet the needs of V.I. pupils in integrated mainstream schools, with the view to drawing implications for the situation in Botswana
This study is a small scale investigation in what the teachers of V.I. pupils in Scotland consider as the problems encountered in learning Maths and the causes to those problems. Also how they view differentiation of the Mathematics curriculum throug...
mainstreamingmathematicsspecial needsintegrationScotland
Difficult (12.9)
Book
Applied Finite Mathematics
Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
AppliedMathematics
Very Difficult (19.8)
CC BY
Book
Applied Mathematics in Ferroelectricity and Piezoelectricity
This textbook, Applied Mathematics in Ferroelectricity and Piezoelectricity, was authored to provide the reader with a solid mathematical background for studying “ferroelectricity and piezoelectricity” as a supplemental reference to my three course b...
computer siencethema EDItEUR::U Computing and Information Technology::UY Computer science
Very Difficult (21.8)
Dissertation
Applied natural language processing inspired by fundamental mathematics and physics
Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, May, 2020
Electrical Engineering and Computer Science.
Very Difficult (17.8)
Journal Article
Approaches to Supporting and Measuring Mathematical Problem Posing: A Systematic Review of Interventions in Mathematics Education
Mathematical problem posing, a form of authentic mathematical inquiry and creation, has been acknowledged as important by educators and curriculum frameworks internationally and has been the focus of several intervention studies with students and tea...
3901 Curriculum and Pedagogy3903 Education Systems39 EducationPrevention4 Quality Education
Very Difficult (18.1)
DOI: 10.17863/CAM.115492
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