| Description |
1 online resource (ix, 281 pages) : illustrations |
| Contents |
Real-World Problems for Secondary School Mathematics Students -- TABLE OF CONTENTS -- PREFACE -- ACKNOWLEDGEMENTS -- 1. MODELLING IN PROBABILITY AND STATISTICS: Key Ideas and Innovative Examples -- INNOVATIVE EXAMPLES OF PROBABILISTIC MODELLING -- Blood Samples Modelled with Binomial Probabilities -- Lifetime of Bulbs Modelled with Normal Distribution -- Call Times and Cost � the Exponential and Poisson Distributions Combined -- Spam Mail � Revising Probabilities with Bayes� Formula -- Summary -- THE USUAL APPROACH TOWARDS TEACHING PROBABILITY |
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Modelling from a Sporting Context � the Nowitzki TaskMODELLING THE NOWITZKI TASK -- Basic Assumptions of Bernoulli Processes -- Investigating and Modelling the Unknown Value of p -- More about Assumptions � A Homogenizing Idea �Behind� the Binomial Distribution -- The Question �Nowitzki Scores at Most Four Times in a Series� -- The Solution is Dependent on the Number of Trials Observed! -- KEY IDEA BEHIND VARIOUS DISTRIBUTIONS -- a. Binomial Distribution � Repeated Independent Trials -- b. Hypergeometric Distribution � Repeated Dependent Trials |
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C. Poisson Distribution � Pure Random Events in Timed. Geometric Distribution � Memory-Less Waiting for an Event -- e. Exponential Distribution � Memory-Less Waiting for Events in Time -- f. Weibull Distribution � Age-Related Hazards -- g. Normal Distribution � the Hypothesis of Independent Elementary Errors -- Distributions Connected to the Normal Distribution -- SOLUTIONS TO THE STATISTICAL PART OF THE NOWITZKI TASK -- Solutions to the First Statistical Part � Nowitzki Away Weaker than Home & Away? |
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Solution to the Second Statistical Part � Nowitzki Weaker Away Than at Home?Validity of Assumptions � Contrasting Probabilistic and Statistical Point of Views -- Alternative Solutions to � Nowitzki Weaker Away than at Home? -- Fisher�s exact test. -- Test for the difference of two proportions. -- Some Conclusions on the Statistical Modelling of the Nowitzki Task -- STATISTICAL ASPECTS OF PROBABILITY MODELLING -- Dealing with the Inherent Assumptions -- Empirical Research � Generalizing Results from Limited Data -- CONCLUSIONS -- NOTES -- REFERENCES |
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2. PROBLEMS FOR THE SECONDARY MATHEMATICS CLASSROOMS ON THE TOPIC OF FUTURE ENERGY ISSUESINTRODUCTION -- DIDACTICAL CONCEPT -- EXAMPLES OF MATHEMATICAL PROBLEMS -- The Problem of CO2 Emission -- Usable Solar Energy -- Photovoltaic Plant and Series Connected Efficiencies -- Wind Energy Converter -- Wind Energy Development -- Betz� Law and Differentiation -- Biomass and Reduction of CO2 Emissions -- Automobile Energy Consumption -- Automobiles: Forces, Energy and Power -- CLASSROOM IMPLEMENTATION -- OUTLOOK AND FINAL REMARKS -- REFERENCES |
| Summary |
This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers |
| Analysis |
onderwijs |
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education |
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wiskunde |
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mathematics |
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Education (General) |
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Onderwijs (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Mathematics -- Study and teaching (Secondary) -- Case studies
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Sciences sociales.
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Droit.
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Sciences humaines.
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Mathematics -- Study and teaching (Secondary)
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| Genre/Form |
Case studies
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Case studies.
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Études de cas.
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| Form |
Electronic book
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| Author |
Maasz, Jürgen.
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O'Donoghue, John, 1946-
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| ISBN |
9789460915437 |
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9460915434 |
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1280785357 |
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9781280785351 |
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9786613695741 |
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6613695742 |
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