Measuring Professional Competence for the Teaching of Mathematical Modelling A Test Instrument / by Wess, Raphael, Klock, Heiner, Siller, Hans-Stefan, Greefrath, Gilbert

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Foundations of Software Science and Computation Structures 22nd International Conference, FOSSACS 2019, Held as Part of the European Joint Conferences on Theory and Practice of Sof...

Table of Contents: “…Universal Graphs and Good for Small Games Automata: New Tools for Infinite Duration Games -- Resource-Tracking Concurrent Games -- Change Actions: Models of Generalised Differentiation -- Coalgebra Learning via Duality -- Tight Worst-Case Bounds for Polynomial Loop Programs -- A Complete Normal-Form Bisimilarity for State -- Identifiers in Registers - Describing Network Algorithms with Logic -- The Impatient May Use Limited Optimism to Minimize Regret -- Causality in Linear Logic: Full Completeness and Injectivity (Unit-Free Multiplicative-Additive Fragment) -- Rewriting Abstract Structures: Materialization Explained Categorically -- Two-Way Parikh Automata with a Visibly Pushdown Stack -- Kleene Algebra with Hypotheses -- Trees in Partial Higher Dimensional Automata -- The Bernays-Schoenfinkel-Ramsey Class of Separation Logic on Arbitrary Domains -- Continuous Reachability for Unordered Data Petri Nets is in PTime -- Optimal Satisfiability Checking for Arithmetic mu-Calculi -- Constructing Inductive-Inductive Types in Cubical Type Theory -- Causal Inference by String Diagram Surgery -- Higher-Order Distributions for Differential Linear Logic -- Languages Ordered by the Subword Order -- Strong Adequacy and Untyped Full-Abstraction for Probabilistic Coherence Spaces -- A Sound and Complete Logic for Algebraic Effects -- Equational Axiomatization of Algebras with Structure -- Towards a Structural Proof Theory of Probabilistic μ-Calculi -- Partial and Conditional Expectations in Markov Decision Processes with Integer Weights -- Equational Theories and Monads from Polynomial Cayley Representations -- A Dialectica-Like Interpretation of a Linear MSO on Infinite Words -- Deciding Equivalence of Separated Non-Nested Attribute Systems in Polynomial Time -- Justness: A Completeness Criterion for Capturing Liveness Properties -- Path category for Free - Open Morphisms from Coalgebras with Non-Deterministic Branching.…”
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APEX PreCalculus by Chapman, Amy Givler, Herald, Meagan, Libertini, Jessica

Table of Contents: “…1 Numbers and Functions -- 1.1 Real Numbers -- 1.2 Introduction to Functions -- 1.3 Factoring and Expanding -- 1.4 Radicals and Exponents -- 1.5 Logarithms and Exponential Functions -- 2 Basic Skills for Calculus -- 2.1 Linear Functions -- 2.2 Solving Inequalities -- 2.3 Function Domains -- 2.4 Graphs and Graphing -- 2.5 Completing the Square -- 3 Solving and Trigonometric Functions -- 3.1 Solving for Variables -- 3.2 Intersections -- 3.3 Fractions and Partial Fractions Decomposition -- 3.4 Introduction to Trigonometric Functions -- 3.5 Trigonometric Functions and Triangles…”
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The Evolution of Research on Teaching Mathematics International Perspectives in the Digital Era /

Table of Contents: “…Mathematics teacher competencies, knowledge, and skills -- 4. Research on pre-active mathematics teacher activities -- 5. …”
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Traditions in German-Speaking Mathematics Education Research

Table of Contents: “…Preface -- Chapter 1 - Educational Research on Mathematics - a Short Survey of its Development in German Speaking Countries -- Chapter 2 - Subject-matter Didactics -- Chapter 3 - Design Science and Design Research: the Significance of a Subject-specific Research Approach -- Chapter 4 - Mathematical Modelling -- Chapter 5 - Mathematics and Bildung 1810 to 1850 -- Chapter 6 - Allgemeinbildung, Mathematical Literacy, and Competence Orientation -- Chapter 7 - Theories of and in mathematics education -- Chapter 8 - Classroom Studies - Sociological Perspectives -- Chapter 9 - Educational Research on Learning and Teaching Mathematics -- Chapter 10 - Large-Scale Studies in Mathematics Education Research.…”
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Dinaric Perspectives on TIMSS 2019 Teaching and Learning Mathematics and Science in South-Eastern Europe /

Table of Contents: “…Foreword I -- Foreword II -- 1 Introduction to Dinaric Perspectives on TIMSS 2019: Paulína Koršňáková, Sabine Meinck, and Barbara Japelj Pavešić -- 2 Context and Implementation of TIMSS 2019 at Grade Four in the Dinaric Region: Paulína Koršňáková and Sandra Dohr -- 3 Opportunity to Learn Mathematics and Science: Agim Alia, Barbara Japelj Pavešić, and Mojca Rožman -- 4 Students' Interests, Motivation, and Self-beliefs: Barbara Japelj Pavešić, Marina Radović, and Falk Brese -- 5 Early Literacy and Numeracy Competencies: Predictors of Mathematics Achievement in the Dinaric Region: Ženeta Džumhur, Nada Ševa, and Mojca Rožman -- 6 The Role of Learning Resources, School Environment, and Climate in Transforming Schools from Buildings to Learning Communities Ines Elezović, Beti Lameva, and Falk Brese -- 7 Teachers, Teaching and Student Achievement: Ivana Đerić, Ines Elezović, and Falk Brese -- 8 Characteristics of Principals and Schools in the Dinaric Region: Beti Lameva, Ženeta Džumhur, and Mojca Rožman -- 9 Characteristics of High- and Low-performing Students: Rezana Vrapi, Agim Alia, and Falk Brese -- 10 Scaffolding the Learning in Rural and Urban Schools: Similarities and Differences : Smiljana Jošić, Barbara Japelj Pavešić, Nikoleta Gutvajn, and Mojca Rožman -- Acknowledgments.…”
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Lines of Inquiry in Mathematical Modelling Research in Education

Table of Contents: “…Teachers as Learners: Understanding and Valuing Mathematical Modelling through Professional Development -- Chapter 9. Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory - Presentation of a New Test Instrument -- Chapter 10. …”
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International Reflections on the Netherlands Didactics of Mathematics Visions on and Experiences with Realistic Mathematics Education /

Table of Contents: “…Seen through other eyes - Opening up new vistas in Realistic Mathematics Education through visions and experiences from other countries -- From tinkering to practice - The role of teachers in the application of Realistic Mathematics Education principles in the United States -- Searching for alternatives for New Math in Belgian primary schools - Influence of the Dutch model of Realistic Mathematics Education -- The impact of Hans Freudenthal and the Freudenthal Institute on the project Mathe 2000 -- Reflections on Realistic Mathematics Education from a South African perspective -- Learning to look at the world through mathematical spectacles - A personal tribute to Realistic Mathematics Education -- Graphing linear equations - A comparison of the opportunity-to-learn in textbooks using the Singapore and the Dutch approaches to teaching equations -- Low achievers in mathematics - Ideas from the Netherlands for developing a competence-oriented view -- From the bottom up - Reinventing RealisticMathematics Education in Southern Argentina -- Realistic Mathematics Education in the Chinese context - Some personal reflections -- The enrichment of Belgian secondary school mathematics with elements of the Dutch model of Realistic Mathematics Education since the 1980s -- Echoes and influences of Realistic Mathematics Education in Portugal -- Supporting mathematical learning processes by means of mathematics conferences and mathematics language tools -- Reinventing Realistic Mathematics Education at Berkeley - Emergence and development of a course for pre-service teachers -- Korean mathematics education meets Dutch didactics -- The influence of Realistic Mathematics Education outside the Netherlands - The case of Puerto Rico -- The impact of Dutch mathematics education on Danish mathematics education -- Two decades of Realistic Mathematics Education in Indonesia -- Intervening with Realistic Mathematics Education in England and the Cayman Islands - The challenge of clashing educational ideologies.…”
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Technical Writing and Simple Statistics for laboratory classes by Wettstein, Stephanie G.

Table of Contents: “…Statistics -- Descriptive Statistics -- Mean, Median, and Mode -- Outliers -- Standard Deviation -- Sample Variance -- Standard Error -- Confidence Interval -- Percent Error and Percent Difference -- Excel Tutorial: Performing Descriptive Statistics Using Excel -- Using Graphs to Display Data -- Line Graphs -- Bar Graphs -- Box Plots -- Error Bars -- Charts – What Not to Do -- Statistical Process Control & Process Control Charts -- Process Variation -- Making the Process Control Chart -- Example #1: Bullet Speeds All Data -- Example #2: Bullet Speeds with Narrower Specifications -- Linear Regression -- Performing Linear Regression -- Excel Tutorials: Performing Regression Analysis Using Excel -- Method 1: Using Excel Formulas -- Method 2: Using Excel Trendlines -- Method 3: Using Excel Data Analysis -- Example: Regression Analysis of Diameter Data -- Statistical Comparison of Two Regressed Slopes -- General Approach for Comparing Two Linearly Regressed Slopes -- Analysis Steps -- Example: Two Regressed Slopes that are Statistically Different -- Example Analysis: Regression Slope Comparison -- Example Two Regressed Slopes that are Not Statistically Different -- t-Tests -- Hypotheses -- Sample Collection and Determining Alpha -- Performing a t-test using Excel -- Interpret the Data -- References -- Writing -- The Writing Process -- Team Writing Strategies -- Meeting agendas and notes -- Agenda -- Notes -- Communication Components -- Abstract (or Summary) -- Background/Introduction -- Objective Statement -- Theory -- Methods -- Apparatus (or Equipment) -- Safety -- Experimental Protocol, Design, and Analysis -- Experimental Protocol -- Experimental Design -- Methods of Analysis -- Data Collection -- Results and Discussion -- Conclusions and Recommendations -- Sample Conclusion Paragraph -- References: Citing the work of others -- Citation Location -- Numerical Formatting -- Alphabetical Formatting -- Reference list/Bibliography -- Appendices -- Appendix -- Excel Tutorial: Using Equation Editor in Microsoft Word -- Step 1: Insert an Equation Region -- Step 2: Use Equation Tools Structures to Create Basic Equation Layout -- Step 3: Fill in the placeholders to complete the equation -- Cliff Notes/Shortcuts -- Excel Tutorial: Using Text Boxes -- Text Box Management: Three Examples -- VERSION 1: Textboxes Near Text Description -- VERSION 2: Textboxes at Bottom of Page -- VERSION 3: No Textboxes -- Excel Tutorial: Formatting Excel Charts for a Professional Look -- Templates -- Captions -- Inserting Symbols in Captions…”
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Proceedings of the 13th International Congress on Mathematical Education ICME-13 /

Table of Contents: “…Borba, Petek Askar, George Gadanidis, Salvador Llinares, Mario Sánchez Aguilar -- Conceptualisation of the role of competencies, knowing and knowledge in mathematics education research, Mogens Niss, Regina Bruder, Núria Planas, Ross Turner Turner, Jhony Alexander Villa-Ochoa -- Assistance of students with mathematical learning difficulties - How can research support practice? …”
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Mathematical Analysis I by Zakon, Elias

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Algorithms for Sparse Linear Systems by Scott, Jennifer, Tůma, Miroslav

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Introduction to Mathematical Analysis I by Lafferriere, Beatriz, Lafferriere, Gerardo, Nguyen, Mau Nam

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Applied Discrete Structures by Doerr, Alan, Levasseur, Kenneth

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A Cool Brisk Walk Through Discrete Mathematics by Davies, Stephen

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Elementary Differential Equations with Boundary Value Problems by Trench, William F.

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Tea Time Numerical Analysis by Brin, Leon

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An Introduction to the Theory of Numbers by Moser, Leo

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Vector Calculus by Corral, Michael

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Elementary Calculus by Corral, Michael

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