Tools of American Mathematics Teaching 1800 2000

Professional engineers, architects, and technicians, however, increasingly used computeraided design instead of drawing instruments, sharply reducing the market for precise mathematical instruments and for those trained in their use.

Author: Peggy Aldrich Kidwell

Publisher: JHU Press

ISBN: 9780801888144

Category: Education

Page: 418

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From the blackboard to the graphing calculator, the tools developed to teach mathematics in America have a rich history shaped by educational reform, technological innovation, and spirited entrepreneurship. In Tools of American Mathematics Teaching, 1800–2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts present the first systematic historical study of the objects used in the American mathematics classroom. They discuss broad tools of presentation and pedagogy (not only blackboards and textbooks, but early twentieth-century standardized tests, teaching machines, and the overhead projector), tools for calculation, and tools for representation and measurement. Engaging and accessible, this volume tells the stories of how specific objects such as protractors, geometric models, slide rules, electronic calculators, and computers came to be used in classrooms, and how some disappeared.

Numerical Methods and Software Tools in Industrial Mathematics

3 Software Tools for Modelling Scattered Data Erlend Arge Øyvind Hjelle ? ... We exemplify by using the scattered data modelling tool Siscat . ... math.sintef.no software , and has made it difficult to design such.

Author: A. Tveito

Publisher: Springer Science & Business Media

ISBN: 081763973X

Category: Computers

Page: 400

View: 472

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13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scattered Geological Data 301 N. P. Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . . . . 301 14. 2 Description of Geological Data 302 14. 3 Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . . . . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . . . . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale Surfaces in Geographic Information Systems 317 G. Misund 15. 1 Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of Variable Resolution . . . . 318 15. 3 Surface Varioscaling by Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . . . . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data 329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . . . . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4 Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6 Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1 Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . . . . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The Improved Douglas Method 353 17. 5 Numerical Examples . . . . . . 360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . . 361 18 Aspects of Algorithms for Manifold Intersection 365 T. Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2 Basic Concepts Used . . . . . . . . . .

Math Tools Grades 3 12

Consider trying a tool like Math Recipe (see p. 130), which draws on the procedural nature of culinary arts to help students create a “recipe card” that outlines the steps in a mathematical procedure. Style-based individualization works ...

Author: Harvey F. Silver

Publisher: Corwin Press

ISBN: 9781452279831

Category: Education

Page: 272

View: 831

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Teach to the Common Core, differentiate instruction, and keep students engaged—all at the same time! With new Common Core–aligned tools and strategies, this second edition of a bestseller is an all-in-one math classroom management resource. Covering everything from lesson design to math-specific learning styles, the book's 60+ tools will enable you to: Work in smarter, more efficient ways with all of your students, no matter the class size or make up Create standards-based lesson plans, tests, and formative assessments Reach every learner regardless of understanding level or learning style Integrate technology into class time for more engaging math lessons

Mathematical Tools for Physicists

Needless to say, today group theory with its applications to symmetry is a fundamental tool in science. ... science and engineering growing so rapidly, a researcher in these fields has little time to study mathematics for its own sake.

Author: George L. Trigg

Publisher: John Wiley & Sons

ISBN: 9783527607259

Category: Science

Page: 686

View: 368

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Mathematical Tools for Physicists is a unique collection of 18 carefully reviewed articles, each one written by a renowned expert working in the relevant field. The result is beneficial to both advanced students as well as scientists at work; the former will appreciate it as a comprehensive introduction, while the latter will use it as a ready reference. The contributions range from fundamental methods right up to the latest applications, including: - Algebraic/ analytic / geometric methods - Symmetries and conservation laws - Mathematical modeling - Quantum computation The emphasis throughout is ensuring quick access to the information sought, and each article features: - an abstract - a detailed table of contents - continuous cross-referencing - references to the most relevant publications in the field, and - suggestions for further reading, both introductory as well as highly specialized. In addition, a comprehensive index provides easy access to the vast number of key words extending beyond the range of the headlines.

Symbolizing Modeling and Tool Use in Mathematics Education

At the same time, these activities serve as an intuitive basis for the construction of sophisticated mathematical ... In socio-cultural theory, symbolizations have a prominent role—as is expressed in the very notion of cultural tools.

Author: K.P Gravemeijer

Publisher: Springer Science & Business Media

ISBN: 9789401731942

Category: Education

Page: 308

View: 390

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This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

Tools To Help Your Children Learn Math Strategies Curiosities And Stories To Make Math Fun For Parents And Children

It is unfortunate that many parents, reflecting common public attitudes, express the opinion that they do not like mathematics, perhaps because they have not had the opportunity to learn mathematics for its usefulness as a life tool or ...

Author: Levine Gavrielle

Publisher: World Scientific

ISBN: 9789813271449

Category: Mathematics

Page: 220

View: 486

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Parents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject.The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

Math Tools Grades 3 12

Common Core + Differentiated Instruction + Student Engagement = Higher Student Achievement If you′re like most math teachers, this is a problem you wrestle with every day.

Author: Harvey F. Silver

Publisher: Corwin Press

ISBN: 9781452284408

Category: Education

Page: 272

View: 789

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Teach to the Common Core, differentiate instruction, and keep students engaged—all at the same time! With new Common Core–aligned tools and strategies, this second edition of a bestseller is an all-in-one math classroom management resource. Covering everything from lesson design to math-specific learning styles, the book's 60+ tools will enable you to: Work in smarter, more efficient ways with all of your students, no matter the class size or make up Create standards-based lesson plans, tests, and formative assessments Reach every learner regardless of understanding level or learning style Integrate technology into class time for more engaging math lessons

Mathematics as a Laboratory Tool

The low-pass component arises because neuron refractoriness limits the neuron output spiking frequency to ≈ 700–800 Hz. From a mathematical point of view, all differential equations in some way filter a sinusoidal input.

Author: John Milton

Publisher: Springer

ISBN: 9781461490968

Category: Mathematics

Page: 500

View: 789

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This introductory textbook is based on the premise that the foundation of good science is good data. The educational challenge addressed by this introductory textbook is how to present a sampling of the wide range of mathematical tools available for laboratory research to well-motivated students with a mathematical background limited to an introductory course in calculus.

Advanced Mathematical and Computational Tools in Metrology and Testing X

R. Model, S Schmelter, G. Lindner, M. Baer „Numerical Simulations and Turbulent Modelling for Applications in Flow Metrology“, Adv. Math. & Comp. Tools in Metrology and Testing 9, Ser. on Advances in Mathematics for Applied Sciences, ...

Author: Franco Pavese

Publisher: World Scientific

ISBN: 9789814678636

Category: Mathematics

Page: 448

View: 904

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This volume contains original and refereed contributions from the tenth AMCTM Conference (http://www.nviim.ru/AMCTM2014) held in St. Petersburg (Russia) in September 2014 on the theme of advanced mathematical and computational tools in metrology and testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards. Contents:Fostering Diversity of Thought in Measurement Science (F Pavese and P De Bièvre)Polynomial Calibration Functions Revisited: Numerical and Statistical Issues (M G Cox and P Harris)Empirical Functions with Pre-Assigned Correlation Behaviour (A B Forbes)Models and Methods of Dynamic Measurements: Results Presented by St. Petersburg Metrologists (V A Granovskii)Interval Computations and Interval-Related Statistical Techniques: Estimating Uncertainty of the Results of Data Processing and Indirect Measurements (V Ya Kreinovich)Classification, Modeling and Quantification of Human Errors in Chemical Analysis (I Kuselman)Application of Nonparametric Goodness-of-Fit Tests: Problems and Solution (B Yu Lemeshko)Dynamic Measurements Based on Automatic Control Theory Approach (A L Shestakov)Models for the Treatment of Apparently Inconsistent Data (R Willink)Model for Emotion Measurements in Acoustic Signals and Its Analysis (Y Baksheeva, K Sapozhnikova and R Taymanov)Uncertainty Calculation in Gravimetric Microflow Measurements (E Batista, N Almeida, I Godinho and E Filipe)Uncertainties Propagation from Published Experimental Data to Uncertainties of Model Parameters Adjusted by the Least Squares (V I Belousov, V V Ezhela, Y V Kuyanov, S B Lugovsky, K S Lugovsky and N P Tkachenko)A New Approach for the Mathematical Alignment Machine Tool-Paths on a Five-Axis Machine and Its Effect on Surface Roughness (S Boukebbab, J Chaves-Jacob, J-M Linares and N Azzam)Goodness-of-Fit Tests for One-Shot Device Testing Data (E V Chimitova and N Balakrishan)Calculation of Coverage Intervals: Some Study Cases (A Stepanov, A Chunovkina and N Burmistrova)Application of Numerical Methods in Metrology of Electromagnetic Quantities (M Cundeva-Blajer)Calibration Method of Measuring Instruments in Operating Conditions (A A Danilov, Yu V Kucherenko, M V Berzhinskaya, N P Ordinartseva)Statistical Methods for Conformity Assessment When Dealing with Computationally Expensive Systems: Application to a Fire Engineering Case Study (S Demeyer, N Fischer, F Didieux and M Binacchi)Overview of EMRP Joint Reserch Project NEW06 "Traceability for Computationally-Intensive Metrology" (A B Forbes, I M Smith, F Härtig and K Wendt)Stable Units of Account for Economic Value Correct Measuring (N Hovanov)A Novel Approach for Uncertainty Evaluation Using Characteristic Function Theory (A B Ionov, N S Chernysheva and B P Ionov)Estimation of Test Uncertainty for TraCIM Reference Pairs (F Keller, K Wendt and F Härtig)Approaches for Assigning Numerical Uncertainty to Reference Data Pairs for Software Validation (G J P Kok and I M Smith)Uncertainty Evaluation for a Computationally Expensive Model of a Sonic Nozzle (G J P Kok and N Pelevic)EllipseFit4HC: A MATLAB Algorithm for Demodulation and Uncertainty Evaluation of the Quadrature Interferometer Signals (R Köning, G Wimmer and V Witkovský)Considerations on the Influence of Test Equipment Instability and Calibration Methods on Measurement Uncertainty of the Test Laboratory (A S Krivov, S V Marinko and I G Boyko)A Cartesian Method to Improve the Results and Save Computation Time in Bayesian Signal Analysis (G A Kyriazis)The Definition of the Reliability of Identification of Complex Organic Compounds Using HPLC and Base Chromatographic and Spectral Data (E V Kulyabina and Yu A Kudeyarov)Uncertainty Evaluation of Fluid Dynamic Simulation with One-Dimensional Riser Model by Means of Stochastic Differential Equations (E A O Lima, S B Melo, C C Dantas, F A S Teles and S Soares Bandiera)Simulation Method to Estimate the Uncertainties of ISO Specifications (J-M Linares and J M Sprauel)Adding a Virtual Layer in a Sensor Network to Improve Measurement Reliability (U Maniscalco and R Rizzo)Calibration Analysis of a Computational Optical System Applied in the Dimensional Monitoring of a Suspension Bridge (L L Martins, J M Rebordão and A S Ribeiro)Determination of Numerical Uncertainty Associated with Numerical Artefacts for Validating Coordinate Metrology Software (H D Minh, I M Smith and A B Forbes)Least-Squares Method and Type B Evaluation of Standard Uncertainty (R Palenčár, S Ďuriš, P Pavlásek, M Dovica, S Slosarčík and G Wimmer)Optimising Measurement Processes Using Automated Planning (S Parkinson, A Crampton and A P Longstaff)Software Tool for Conversion of Historical Temperature Scales (P Pavlásek, S Ďuriš, R Palenčár and A Merlone)Few Measurements, Non-Normality: A Statement on the Expanded Uncertainty (J Petry, B De Boeck, M Dobre and A Peruzzi)Quantifying Uncertainty in Accelerometer Sensitivity Studies (A L Rukhin and D J Evans)Metrological Aspects of Stopping Iterative Procedures in Inverse Problems for Static-Mode Measurements (K K Semenov)Inverse Problems in Theory and Practice of Measurements and Metrology (K K Semenov, G N Solopchenko and V Ya Kreinovich)Fuzzy Intervals as Foundation of Metrological Support for Computations with Inaccurate Data (K K Semenov, G N Solopchenko and V Ya Kreinovich)Testing Statistical Hypotheses for Generalized Semiparametric Proportional Hazards Models with Cross-Effect of Survival Functions (M A Semenova and E V Chimitova)Novel Reference Value and DOE Determination by Model Selection and Posterior Predictive Checking (K Shirono, H Tanaka, M Shiro and K Ehara)Certification of Algorithms for Constructing Calibration Curves of Measuring Instruments (T Siraya)Discrete and Fuzzy Encoding of the ECG-Signal for Multidisease Diagnostic System (V Uspenskiy, K Vorontsov, V Tselykh and V Bunakov)Application of Two Robust Methods in Inter-Laboratory Comparisons with Small Samples (E T Volodarsky and Z L Warsza)Validation of CMM Evaluation Software Using TraCIM (K Wendt, M Franke and F Härtig)Semi-Parametric Polynomial Method for Retrospective Estimation of the Change-Point of Parameters of Non-Gaussian Sequences (S V Zabolotnii and Z L Warsza)Use of a Bayesian Approach to Improve Uncertainty of Model-Based Measurements by Hybrid Multi-Tool Metrology (N-F Zhang, B M Barnes, R M Silver and H Zhou)Application of Effective Number of Observations and Effective Degrees of Freedom for Analysis of Autocorrelated Observations (A Zieba) Readership: Researchers, graduate students, academics and professionals in metrology. Key Features:Unique consolidated series of books (started in 1993) in mathematics, statistics and software specifically for metrology and testingAuthors are among the most prominent in the metrology and testing fieldsNo competing books in the same comprehensive fieldKeywords:Mathematics;Statistics;Modeling;Uncertainty;Metrology;Testing;Computational Tools;Measurement Science

Equations and Analytical Tools in Mathematical Physics

The essence of PDE as a modelling tool can be perceived from summarising several key fundamental features underlying ... It has to be mentioned that the mathematical tools that are originally devised for solving PDEs are quite vast in ...

Author: Yichao Zhu

Publisher: Springer Nature

ISBN: 9789811654411

Category:

Page:

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