Advanced Problems in Mathematics

Advanced Problems in Mathematics
Author: Stephen Siklos
Publisher:
Total Pages: 188
Release: 2019-10-16
Genre: Mathematics
ISBN: 9781783747764

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 offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Mathematical Expeditions

Mathematical Expeditions
Author: Frank J. Swetz
Publisher: JHU Press
Total Pages: 205
Release: 2012-07-16
Genre: Mathematics
ISBN: 1421404370

"A collection of over 500 culturally and historically diverse mathematical problems carefully chosen to enrich mathematics teaching from middle school through the college level."--Provided by publisher.

HOW TO SOLVE WORD PROBLEMS IN MATHEMATICS (EBOOK)

HOW TO SOLVE WORD PROBLEMS IN MATHEMATICS (EBOOK)
Author: David S. Wayne
Publisher: McGraw Hill Professional
Total Pages: 180
Release: 2001-01-03
Genre: Business & Economics
ISBN: 9780071362726

Presents tools for mastering math word problems, including step-by-step guidance, examples, and problems with explained answers.

Open Middle Math

Open Middle Math
Author: Robert Kaplinsky
Publisher: Taylor & Francis
Total Pages: 193
Release: 2023-10-10
Genre: Education
ISBN: 1003839886

This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Without Words

Without Words
Author: James Tanton
Publisher: Tarquin
Total Pages: 0
Release: 2013-09
Genre:
ISBN: 9781907550232

All real life mathematics is problem solving. And all those fascinated by puzzles are problem solvers at heart. But thinking mathematically is a skill we have to learn and one which it is easy to forget. Recreational mathematicians and students can practise problem solving in different ways. In this book solving puzzles is practised in a different way from most books they will have seen before: # Readers get no clues to what the puzzle is about # They may take hours or even days to work out what is being asked of them # Even after that, some problems may have no solution The result of this challenge is a really challenging book that will fascinate anyone interested in puzzles and recreational mathematicians in particular. This volume contains 36 puzzles ranging from quite easy to quite difficult. The sister volume More Without Words: Mathematical Puzzles to Confound and Delight is also available - containing 36 more puzzles with fewer easy and more testing ones.

225 Fantastic Facts Math Word Problems

225 Fantastic Facts Math Word Problems
Author: Eric Charlesworth
Publisher: Scholastic Inc.
Total Pages: 68
Release: 2001-11
Genre: Education
ISBN: 9780439256186

for two violas or small string ensemble Inspired by Minsky's hike through the terrain of the Pacific Northwest, performers will feel as though they made the trip with him. The three movements cover the styles of Bluegrass, American Waltz, and Blues Rock.

Mathematical Word Problems

Mathematical Word Problems
Author: John Carty
Publisher: Australian Self Publishing Group
Total Pages: 98
Release: 2023-11-01
Genre: Education
ISBN: 192308772X

John Carty wrote this book to get parents involved in their child’s mathematics education, especially that aspect involving word problems. It goes from age 10 to year 10, so you don’t need any Calculus to do any of the questions. A sound grasp of Algebra would help in many cases. There are 777 questions across 7 categories (chapters) and John’s ideal was a child could start doing 3 or 4 questions a week, and this way could be aged 16 before you get through all 777 successfully. All answers are provided. Hints for problem solving are detailed in the forward, but are in no way exhaustive. In learning there is nothing wrong with repetition and to go through some chapters 2 or 3 times, would enhance maths problem-solving skills in many students. In some cases, there are what maths educators call ‘elegant solutions’ but in in others, a parent may come up with a different pathway to the correct answer. John has been involved in using mathematics and in mathematics education all his life and feels bringing in the parents is a possible strategy to increasing the capacity of a child’s mathematical toolkit.

Symbolizing, Modeling and Tool Use in Mathematics Education

Symbolizing, Modeling and Tool Use in Mathematics Education
Author: K.P Gravemeijer
Publisher: Springer Science & Business Media
Total Pages: 304
Release: 2013-03-09
Genre: Education
ISBN: 9401731942

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.