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Yossi Elran, Sabine Segre, Judith Golan, Michal Elran, and shulamit kotzer

Most FutureLearn courses run multiple times. Every run of a course has a set start date but you can join it and work through it after it starts. Find out more The course is designed for anyone who enjoys popular science, recreational maths and solving maths puzzles and crosswords. It will be especially useful for parents or teachers looking to inspire a love of math and do fun math activities with young people. You can use the hashtag #FLmathspuzzles to talk about this course on social media.

Topics Covered

Read more

Most FutureLearn courses run multiple times. Every run of a course has a set start date but you can join it and work through it after it starts. Find out more The course is designed for anyone who enjoys popular science, recreational maths and solving maths puzzles and crosswords. It will be especially useful for parents or teachers looking to inspire a love of math and do fun math activities with young people. You can use the hashtag #FLmathspuzzles to talk about this course on social media.

Topics Covered

  • Encoding maths puzzles, secret codes and symbologies
  • Solving and creating cryptarithms - puzzles where numbers in a mathematical expressions are encoded
  • Genres of cryptarithm including, ancient Hindu problems and alphametics
  • Special and unique cryptarithms, including prime numbers, logarithms, square roots and powers
  • Symbologies from ancient times to modern bar codes
  • The language of computers including, binary, ternary and gray codes
  • Decrypting ancient Egyptian number systems, Roman and Greek numerals
  • Barcode puzzles and how to solve them
  • Different types of operator puzzles including unary, binary and ternary
  • Modern operators including, logic operators, text operators and operators in Excel

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Reviews summary

Recreational math, cryptarithms, and secret codes

According to students, this course offers a fun and engaging introduction to the world of maths puzzles, cryptarithms, and secret codes. Many found it highly enjoyable and a great way to inspire a love for math, especially for parents or teachers working with young people. The course's exploration of various symbologies, ancient number systems, and modern operators is considered clear and accessible. While some learners appreciated its recreational focus and bite-sized modules, a few found certain sections less challenging for those with a strong math background. Overall, it's widely seen as a solid foundation for recreational learning rather than a deep dive.
Generally well-structured, though some sections might feel slow or superficial.
"Well-structured and easy to follow through the modules."
"The pace was a bit slow at times, but overall a solid course for recreational learning."
"It covered a lot of topics but sometimes felt a bit superficial, not a deep exploration."
Complex concepts like cryptarithms and codes are made easy to understand.
"Even for someone who's not a math wizard, the course made everything incredibly clear and understandable."
"The historical context and breakdown of various number systems were presented very clearly."
"I found the explanations on different types of operators to be particularly accessible and well-illustrated."
Provides valuable resources for teachers and parents to engage children with math.
"As a teacher, I found fantastic ideas for my classroom. Highly recommend for inspiring young minds."
"My kids and I did the puzzles together; it was a wonderful way to explore math as a family."
"This course is perfect for anyone looking for fun math activities to do with young people."
A highly enjoyable course for math enthusiasts and puzzle solvers.
"Absolutely loved this course! The puzzles were so much fun and explained really well."
"Just what I needed for a fun brain challenge. The explanations of different number systems were clear."
"I really enjoyed the journey through cryptarithms and how codes work; it was truly engaging."
More of a broad overview; may lack depth for advanced math learners.
"Some parts felt a bit basic if you're already familiar with logic puzzles."
"I wish there were more advanced challenges or deeper dives into some of the cryptography aspects."
"This course is more of a survey than a deep dive; not very challenging for someone with a strong math background."

Career center

Learners who complete Maths Puzzles: Cryptarithms, Symbologies and Secret Codes will develop knowledge and skills that may be useful to these careers:

Reading list

We've selected 50 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Maths Puzzles: Cryptarithms, Symbologies and Secret Codes.
Explores the psychological and mythological significance of symbols, drawing on examples from a variety of cultures. This classic work on the psychology of symbols, essential reading for anyone interested in understanding the role of symbols in the human psyche.
Provides a comprehensive overview of the Roman numeral system, from its origins to its use in modern times. It great resource for anyone who wants to learn more about this fascinating numerical system.
This comprehensive guide covers all aspects of Roman numerals, from their history and uses to their conversion to and from Arabic numerals. It valuable resource for anyone interested in a thorough understanding of this topic.
Provides a comprehensive dictionary of symbols, providing definitions and interpretations of symbols from around the world. This book is an essential reference for anyone interested in the study of symbols or their use in different cultures.
Is an introduction to the history and study of symbols, exploring their use in art, religion, and culture. This book is an excellent resource for understanding the historical development of symbology.
Explores the use of symbols in art, providing a comprehensive overview of the iconography of Western art. This book is an essential resource for anyone interested in the study of art history, providing a deep understanding of the role of symbols in artistic expression.
Provides a comprehensive overview of symbols from around the world, exploring their history, meaning, and usage. This book valuable resource for anyone interested in the comparative study of symbols.
The Art of Problem Solving, Volume 1 by Rusczyk comprehensive book that covers a wide range of problem-solving techniques, including cryptarithms. While it does not focus solely on cryptarithms, it provides a thorough treatment of the topic, making it a valuable resource for those interested in developing their problem-solving skills in this area.
Provides an introduction to the Riemann Hypothesis and its connections to prime numbers, written by experts in the field. It is appropriate for graduate students and researchers in mathematics.
Provides a comprehensive overview of the history, theory, and applications of prime numbers. It is suitable for a wide range of readers, from high school students to professionals in mathematics.
This beginner-friendly book provides a step-by-step approach to learning Roman numerals. It is an excellent resource for anyone looking to build a strong foundation in this topic.
Explores the use of symbols in sacred traditions around the world, revealing their hidden meanings and connections. This book valuable resource for anyone interested in the study of comparative religion, providing a deep understanding of the role of symbols in spiritual traditions.
Comprehensive guide to Roman numerals. It provides a detailed overview of the system and its history, as well as practical instructions on how to read and write Roman numerals.
A classic textbook covering fundamental algebra and trigonometry, this book includes substantial sections on logarithms and exponential functions. It's a solid resource for high school and early undergraduate students to build a strong mathematical background. It is often used as a core textbook and provides a comprehensive treatment of prerequisite topics for calculus.
A widely used calculus textbook that introduces transcendental functions, including exponential and logarithms, early in the text. It provides a comprehensive treatment of calculus with numerous examples and applications, relevant for undergraduate students.
This open-access textbook provides a basic introduction to square roots, covering their definition, properties, and simplification. It's suitable for students who need foundational knowledge in algebra. It can serve as a primary textbook for an introductory algebra course or as a review resource.
A concise version of Blitzer's precalculus text, this book covers the essential topics, including exponential and logarithmic functions, in a more streamlined format. It is often used in college courses to provide a solid foundation before calculus.
Is an excellent starting point for gaining a broad understanding of square roots within the context of elementary algebra. It covers the definition of square roots, simplifying radical expressions, and operations with square roots. It is commonly used as a textbook in high school algebra courses and provides a solid foundation for more advanced topics.
Focuses on the theory and applications of error-correcting codes, which play a vital role in ensuring data integrity during transmission and storage.
Explores the practical applications of Roman numerals in various fields, such as architecture, archaeology, and finance. It valuable resource for anyone who wants to understand how Roman numerals are still used today.
This workbook provides targeted practice problems for developing fundamental skills in logarithms and exponentials. It is particularly useful for high school students and those in introductory undergraduate courses needing to solidify their understanding through practice. The focus on essential skills makes it a valuable resource for building a strong foundation.
Introduces the fundamentals of coding theory, which plays a crucial role in various encoding schemes. It good starting point for understanding the theoretical aspects of encoding.
Provides an overview of computational methods for studying prime numbers. It is suitable for advanced undergraduates and graduate students in mathematics.
Building upon elementary algebra, this textbook delves deeper into simplifying and manipulating expressions involving square roots and other radicals. It is appropriate for students looking to strengthen their algebraic skills before moving to more advanced topics. is often used in developmental math programs or as a bridge to college-level algebra.
Offers a straightforward introduction to logarithms and exponential functions with numerous examples and exercises. It is designed for easy understanding, making it suitable for beginners, including advanced high school students or those starting undergraduate programs. The focus on basic rules and equations helps build foundational knowledge.
This practical guide focuses on the use of Roman numerals in everyday contexts. It covers topics such as converting dates, reading clocks, and understanding Roman numerals in inscriptions.
Mathematical Recreations and Essays by Ball classic work that includes a section on cryptarithms. While the book is not solely dedicated to cryptarithms, it provides a fascinating historical perspective on the topic and offers a glimpse into the development of mathematical puzzles.
This classic text provides a comprehensive overview of the prime number theorem, including its history, proofs, and applications. It is suitable for advanced undergraduates and graduate students in mathematics.
Comprehensive guide to Roman numerals for beginners. It provides clear and concise explanations of the different ways that Roman numerals work.
Provides a collection of challenging problems involving exponents and logarithms, sourced from the AwesomeMath Summer Program. It is designed for students preparing for mathematical competitions and aims to deepen their understanding and problem-solving skills in these areas.
A continuation of Vol. 1, this book delves into more advanced mathematical concepts and problems, including those involving logarithms at a higher level. It is designed for students preparing for challenging math contests and requires a strong foundation in algebra and precalculus. It is more suitable for advanced undergraduates and those pursuing competitive mathematics.
This engaging book is designed to introduce children to Roman numerals in a fun and interactive way. It is an excellent resource for parents and educators looking to teach children about this topic.
The Joy of X: A Guided Tour of Math, from One to Infinity by Strogatz book that provides a broad overview of mathematics, including a section on cryptarithms. While it does not delve deeply into the topic, it offers a good introduction for those who are new to cryptarithms.
Focuses specifically on learning logarithms and their implementation in mathematics, with a focus on providing clear concepts and practice problems. It is noted as being useful for students preparing for competitive exams, suggesting a good collection of problems.
This engaging book provides a historical and conceptual deep dive into the square root of minus one, introducing the fascinating world of complex numbers. It's an excellent resource for understanding the origins and significance of imaginary numbers, which are intrinsically linked to square roots. It's more valuable as additional reading to broaden understanding rather than a core textbook.
Tells the story of Bernhard Riemann's work on the Riemann Hypothesis, one of the most important unsolved problems in mathematics. It is suitable for a general audience.
This comprehensive text on numerical methods includes algorithms for root finding, which are directly applicable to calculating square roots numerically. It's a valuable reference for understanding the computational aspects of finding roots. is suitable for advanced undergraduate and graduate students in mathematics, engineering, and computer science.
This calculus book offers an intuitive approach to the subject, including the concepts of exponential and logarithmic functions. It connects mathematical concepts to physical applications, which can enhance understanding for students in science and engineering.
Provides a deeper understanding of functions, including exponential and logarithmic functions, from a more advanced perspective. It is suitable for advanced high school or undergraduate students seeking a more rigorous treatment of the underlying concepts of functions.
Offers a comprehensive exploration of complex numbers, including the concept of the square root of negative numbers and roots of unity. It is suitable for advanced high school students and undergraduates interested in delving deeper into complex analysis. It can serve as a supplementary text or a primary resource for a course on complex numbers.
The Mathematical Experience by Davis and Hersh book that explores the history and philosophy of mathematics, including a section on cryptarithms. While it does not provide a comprehensive treatment of the topic, it offers a unique perspective on the role of puzzles in mathematics.
Mathematical Mind-Benders: A Collection of Challenging Mathematical Puzzles by Winkler book that contains a variety of mathematical puzzles, including cryptarithms. While it does not provide a comprehensive treatment of the topic, it offers a good collection of puzzles for those who enjoy solving them.
Provides an intuitive and geometric approach to complex numbers and functions, including the visualization of roots of unity and complex exponentiation. It's a great resource for building a strong conceptual understanding of complex numbers. It is valuable as supplementary reading for anyone studying complex analysis.
This packet offers stimulating activities and practice problems specifically focused on exponential and logarithmic functions, designed to help students build precalculus skills. It can be a useful supplementary resource for reinforcing concepts learned in a textbook or lecture.
Offers a focused exploration of the square root of 2, delving into its history, properties, and significance in mathematics. It's a good resource for gaining a deeper appreciation for a specific irrational number and its implications. It is valuable as supplementary reading for those interested in the history and philosophy of mathematics.
Introduces concepts in number theory, which can involve the properties of integers, prime numbers, and perfect squares, all of which relate to the nature of square roots of integers. It provides a deeper understanding of the mathematical properties underlying square roots. This book is suitable for undergraduate students in mathematics and computer science.
Provides an introduction to Galois theory, which studies symmetries of polynomial roots and determines when a polynomial can be solved by radicals. It's a key resource for understanding the theoretical limits of finding roots using algebraic operations. This book is suitable for advanced undergraduates and graduate students.

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