最佳Mathematics播客 (2024)

1
NUMBER SYSTEMS IX - Complex Numbers | Mathematics Simplified 10:53

10d ago10:53

10:53

In this episode of Mathematics Simplified, we dive into the world of complex numbers! Join us as we break down what complex numbers are, why they’re important, and how they’re used in mathematics and beyond. We’ll explain the basic form of a complex number and walk through simple operations like addition and multiplication. Plus, we’ll cover key co…

1
Episode103-Crystal Watson, "Belonging: The Power of Believing" 27:19

10d ago27:19

27:19

Episode103-Crystal Watson, "Belonging: The Power of Believing"由NCSM Leadership in Mathematics Education

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What is a Pattern? 12:46

29d ago12:46

12:46

Math is in a sense the science of patterns. Alon Amit explores the question of what exactly is a pattern. A common example is the decimal digits of pi. The statement that they have no pattern seems to be either obvious or completely untrue. We explore the spectrum of pattern-ness from simple repetition to total randomness and finally answer the que…

1
Episode102-Karen Riley Jeffers and Abel Maestas, "Introducing the New Voices of "Learning with Leaders" 35:52

1M ago35:52

35:52

Episode102-Karen Riley Jeffers and Abel Maestas, "Introducing the New Voices of "Learning with Leaders"由NCSM Leadership in Mathematics Education

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NUMBER SYSTEMS - VIII - Mathematics Simplified | Real Numbers 7:01

2M ago7:01

7:01

In this episode of Mathematics Simplified, we dive into the world of Real Numbers—a fundamental concept that encompasses both rational and irrational numbers. From understanding the properties of real numbers to learning how they form the backbone of algebra and calculus, we’ll simplify everything you need to know. Whether you're preparing for exam…

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What's the Big Deal about Pi? 17:36

2M ago17:36

17:36

Alon Amit joins us on the antipode of Pi Day to counter the myths and mysteries of this most famous irrational number. There's nothing magical about a non-repeating string of digits. The real and profound mystery is the ubiquity of pi. It shows up in places that have nothing to do with circles, such as the sum of the reciprocals of the squares of t…

1
Episode101-Dr. Hortensia Soto, "Serving Others So They Can Serve" 30:12

2M ago30:12

30:12

Episode101-Dr. Hortensia Soto, "Serving Others So They Can Serve"由NCSM Leadership in Mathematics Education

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Michael Gavin, "Literary Mathematics: Quantitative Theory for Textual Studies" (Stanford UP, 2022) 54:53

2M ago54:53

54:53

Across the humanities and social sciences, scholars increasingly use quantitative methods to study textual data. Considered together, this research represents an extraordinary event in the long history of textuality. More or less all at once, the corpus has emerged as a major genre of cultural and scientific knowledge. In Literary Mathematics: Quan…

1
NUMBER SYSTEMS - VII - Mathematics Simplified 9:10

2M ago9:10

9:10

In this episode of Mathematics Simplified, we dive into the world of irrational numbers! Discover what makes these numbers unique, how they fit into the broader number system, and where they show up in real life—from the famous Pi (π) to the square root of 2 (√2). Tune in to explore the fascinating world of infinite, non-repeating decimals and why …

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Al Posamentier and Christian Speitzer, “The Mathematics of Everyday Life” (Prometheus Books, 2018) 54:18

2M ago54:18

54:18

Today I talked to Al Posamentier about his books (co-authored with Christian Speitzer) The Mathematics of Everyday Life (Prometheus Books, 2018). We all are told – practically from the moment we enter school – that mathematics is important because it permeates practically all aspects of our lives. But, for the most part, we don’t really notice it e…

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Brian Clegg, "Ten Patterns That Explain the Universe" (MIT Press, 2021) 52:08

3M ago52:08

52:08

Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe (MIT Press, 2021), Brian Clegg explores the phenomena that make up the very fabric of our world by examining ten essential sequenced systems. From diagra…

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Turning Math-Hating Prisoners into Mathematicians 22:14

3M ago22:14

22:14

Kate Pearce, a post-doc researcher at UT Austin, talks about her experience teaching math in a women's prison. Her remedial college algebra students came in with negative experience in math, so she devised ways to make the topics new. The elective class called, coincidentally, The Art of Mathematics, explored parallels between math and art, infinit…

1
NUMBER SYSTEMS - VI - Mathematics Simplified 6:15

3M ago6:15

6:15

Number systems are a crucial foundation in Mathematics, and understanding basic number systems is essential for all students. In our latest episode, we dive into rational numbers, exploring their role and importance in mathematical learning. Discover how rational numbers fit into the broader number system and why they're vital for your academic pro…

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Episode100-Kenya Overton and Dr. Tutita Casa, "Mathematics Teaching that Uncovers What Students CAN Do" 40:01

3M ago40:01

40:01

Episode100-Kenya Overton and Dr. Tutita Casa, "Mathematics Teaching that Uncovers What Students CAN Do"由NCSM Leadership in Mathematics Education

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Stop Overselling Mathematics 17:20

4M ago17:20

17:20

Alon Amit, prolific Quora math answerer, argues that an honest representation of mathematical ideas is enough to spark interest in math. It's not necessary to exaggerate the role of math; the golden ratio does not drive the stock market, the solution of the Riemann hypothesis will not kill cryptography, and Grothendieck did not advance robotics. Hi…

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NUMBER SYSTEMS - V - Mathematics Simplified 7:02

4M ago7:02

7:02

Number systems are an integral part of learning Mathematics and the knowledge of basic number systems is mandatory for all the students. Knowing about Integers is a very important step towards the higher learning of Mathematics and Science. #mathematicssimplified #mathisfun #experientiallearning #learningbydoing #numbersystems…

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Episode99-Katey Arrington and Brian Buckhalter, "What's Happening NCSM" 27:58

4M ago27:58

27:58

Episode99-Katey Arrington and Brian Buckhalter, "What's Happening NCSM"由NCSM Leadership in Mathematics Education

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David J. Hand, "Dark Data: Why What You Don't Know Matters" (Princeton UP, 2020) 1:18:03

5M ago1:18:03

1:18:03

There is no shortage of books on the growing impact of data collection and analysis on our societies, our cultures, and our everyday lives. David Hand's new book Dark Data: Why What You Don't Know Matters (Princeton University Press, 2020) is unique in this genre for its focus on those data that aren't collected or don't get analyzed. More than an …

1
NUMBER SYSTEMS -IV 6:31

5M ago6:31

6:31

Number systems are an integral part of learning Mathematics and the knowledge of basic number systems is mandatory for all the higher learning.So let's keep on learning and understanding the basic ideas #mathematicssimplified#learningisfun#experientiallearning#learningbydoing

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Math for Kids: It's not a Spectator Sport 21:52

5M ago21:52

21:52

Dave Cole, the author of the Math Kids series of books, talks about introducing kids to math as a fun challenge and puzzle beyond the rote memorization they've come to expect. Kids who like to read are enticed by puzzles and mysteries. Möbius strips, Pascal's triangle, and other concepts that are new to them, make them marvel, "Is this math?" They …

1
Ann Johnson and Johannes Lenhard, "Cultures of Prediction: How Engineering and Science Evolve with Mathematical Tools" (MIT Press, 2024) 1:01:58

5M ago1:01:58

1:01:58

A probing examination of the dynamic history of predictive methods and values in science and engineering that helps us better understand today's cultures of prediction. The ability to make reliable predictions based on robust and replicable methods is a defining feature of the scientific endeavor, allowing engineers to determine whether a building …

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Paulina Rowinska, "Mapmatics: How We Navigate the World Through Numbers" (Pan Macmillan, 2024) 56:44

5M ago56:44

56:44

How does a delivery driver distribute hundreds of packages in a single working day? Why does remote Alaska have such a large airport? Where should we look for elusive serial killers? The answers lie in the crucial connection between maps and maths. In Mapmatics: How We Navigate the World Through Numbers (Pan Macmillan, 2024), Dr Paulina Rowinska em…

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Episode98-Jenny Novak and Grace Anne McKay, "Breaking Barriers: NCSM's 56th Annual Conference Preview" 27:58

5M ago27:58

27:58

Episode98-Jenny Novak and Grace Anne McKay, "Breaking Barriers: NCSM's 56th Annual Conference Preview"由NCSM Leadership in Mathematics Education

1
NUMBER SYSTEMS -III 8:36

6M ago8:36

8:36

Number systems are integral part of learning Mathematics.There are many important number systems from where one number can be converted to another format using some important steps.Here's a simple process of this learning via an example.#mathematicssimplified#mathisfun#experientiallearning#learningbydoing#numbersystems…

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David S. Richeson, "Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity" (Princeton UP, 2019) 54:24

6M ago54:24

54:24

David S. Richeson's book Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity (Princeton University Press, 2019) is the fascinating story of the 2000 year quest to solve four of the most perplexing problems of antiquity: squaring the circle, duplicating the cube, trisecting the angle, and constructing regular …

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Egyptian Fractions 17:21

6M ago17:21

17:21

Neil Epstein, Associate Professor of Mathematics at George Mason University, introduces us to the fractions used by the ancient Egyptians, well before the Greeks and Romans. The Egyptian fractions all had a unit numerator. They could represent any fraction as a sum of unique unit fractions, a fact that was not proved until centuries later. These su…

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Episode97-Dr. Jamila Riser, Anthony Reid and Shellee Wong, "Math Marigolds" 43:55

6M ago43:55

43:55

Episode97-Dr. Jamila Riser, Anthony Reid and Shellee Wong, "Math Marigolds"由NCSM Leadership in Mathematics Education

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Thomas A. Garrity, "All the Math You Missed (But Need to Know for Graduate School)" (Cambridge UP, 2021) 50:35

7M ago50:35

50:35

Graduate students in many programs besides mathematics will need to be familiar with the methods and results of a variety of mathematical topics. Just as importantly, these students will need to develop a level of mathematical maturity—how to think in broad strokes about the subject, how to study it, and even how to communicate their work. The gap …

1
NUMBER SYSTEMS -II 5:49

7M ago5:49

5:49

Learning Mathematics becomes fun when we have clarity about the basic concepts. Number systems in Mathematics are important tools for the higher learning.Conversion of one number system to another is an important concept.#Mathematicssimplified#mathisfun#learningbydoing#experientiallearning#numbersystems…

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Da Vinci's Math Teacher: Merging the Practical and Theoretical 16:46

7M ago16:46

16:46

Jeanne Lazzarini joins us again to introduce us to the mathematician Luca Pacioli, whose views of numbers and shapes influenced Leonardo da Vinci, leading to a period of art and invention. His book, De Divina Proportione, is the only book ever illustrated by da Vinci. The Renaissance was a period when mathematicians studied art and artists studied …

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Kevin Lambert, "Symbols and Things: Material Mathematics in the Eighteenth and Nineteenth Centuries" (U Pittsburgh Press, 2021) 1:20:03

7M ago1:20:03

1:20:03

The stereotype of the solitary mathematician is widespread, but practicing users and producers of mathematics know well that our work depends heavily on our historical and contemporary fellow travelers. Yet we may not appreciate how our work also extends beyond us into our physical and societal environments. Kevin Lambert takes what might be a firs…

1
NUMBER SYSTEMS 7:46

7M ago7:46

7:46

Mathematics takes help from various types of Number systems. There has been an evolution in the mathematical world beginning from the number systems.Here's a small segment trying to help young learners about the Decimal numbers #mathematicssimplified#mathisfun#learningbydoing#experientiallearning

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Episode96-Christina Lincoln-Moore and Tashana Howse, "Iron Sharpens Iron: Black Womxn in Mathematics Education (BWXME) Speak " 34:12

7M ago34:12

34:12

Episode96-Christina Lincoln-Moore and Tashana Howse, "Iron Sharpens Iron: Black Womxn in Mathematics Education (BWXME) Speak "由NCSM Leadership in Mathematics Education

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Alon Amit, sharing the mathematical journey in Quora and Math Circles 20:26

8M ago20:26

20:26

Alon Amit, probably the most prolific answerer of math questions on Quora, shares his reasons for his deep involvement. He seeks to share the journey, the exploration and stumbles of solving a problem. He's especially drawn to questions that will teach him things, even if he never completes the answer. He also shares his joy of problem solving with…

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Episode95-Dr. Jason Gauthier, "Coaching is Belief Work " 30:46

9M ago30:46

30:46

Episode95-Dr. Jason Gauthier, "Coaching is Belief Work "由NCSM Leadership in Mathematics Education

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IDENTITIES AND EQUATIONS 9:06

9M ago9:06

9:06

Mathematical Identities have a great usage in solving questions and problems but students often find it difficult to differentiate between an identity and an equation. Here's an effort to get a simple segregation tool for this.Let's make the most of this important identification and simplify this for the students#mathematicssimplified#mathisfun#lea…

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Too Much Math in the Schools? These Books Counter That Narrow View 20:59

9M ago20:59

20:59

Lee Kraftchick continues his tour of books about math written for the non-mathematician like himself. We also can't let go of Gödel Escher Bach. Lee cites an opinion piece in the Washington Post, titled, "The Problem with Schools Today is Too Much Math," which gives a very narrow view of what math is. He counters it with a response (see theartofmat…

1
ALGEBRAIC IDENTITIES 7:39

9M ago7:39

7:39

Learning Mathematics can be fun if we understand and learn Algebraic Identities. These Identities have a variety of usage in the mathematical world . Here's a good beginning. Let's keep our journey full of fun and activities#mathisfun#mathematicssimplified#learningbydoing#experientiallearning

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Episode94-NCSM Fellows, "Sharing the NCSM Fellows Program " 43:28

9M ago43:28

43:28

Episode94-NCSM Fellows, "Sharing the NCSM Fellows Program "由NCSM Leadership in Mathematics Education

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Ismar Volić, "Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation" (Princeton UP, 2024) 39:40

10M ago39:40

39:40

What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a …

1
Books for the Mathematical Tourist 20:41

10M ago20:41

20:41

Lee Kraftchick discusses some of his favorite books for non-mathematicians to explore the breadth of mathematics. These books range from very old to current. Some discuss beautiful proofs, whether math is invented or discovered, and how to think. Lee and Carol agree on the number one greatest book for mathematicians and non-mathematicians alike. Se…

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Episode93-Dr. Jackie Murawska and Dr. Sean Nank, "Igniting Change through Empathetic Storytelling " 45:23

11M ago45:23

45:23

Episode93-Dr. Jackie Murawska and Dr. Sean Nank, "Igniting Change through Empathetic Storytelling "由NCSM Leadership in Mathematics Education

1
Reflecting on Kaleidoscopes 20:18

11M ago20:18

20:18

Jeanne Lazzarini talks about kaleidoscopes and the mathematics that makes them work. This "beautiful form watcher" uses the laws of reflection to make ever-changing repeated symmetries. The use of more mirrors, rectangles, cylinders or pyramids create even more complex patterns.

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ALGEBRAIC EXPRESSIONS - PRODUCT OF POLYNOMIALS 10:11

11M ago10:11

10:11

Understanding algebra and its nuances is something every mathematics student wishes for . Let's work on getting there with the wonderful world of Algebra opening up. Keep learning by doing because that's the perfect way of understanding the concepts and applying them in real life situations.#mathisfun#learningbydoing#experientiallearning#mathematic…

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Episode92-Dr. Katey Arrington and Dr. Brian Buckhalter, "A Holiday Message" 3:56

12M ago3:56

3:56

Episode92-Dr. Katey Arrington and Dr. Brian Buckhalter, "A Holiday Message"由NCSM Leadership in Mathematics Education

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Did Copernicus steal ideas from Islamic astronomers? 1:27:04

12M ago1:27:04

1:27:04

Copernicus’s planetary models contain elements also found in the works of late medieval Islamic astronomers associated with the Maragha School, including the Tusi couple and Ibn al-Shatir’s models for the Moon and Mercury. On this basis many historians have concluded that Copernicus must have gotten his hands on these Maragha ideas somehow or other…

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Meet the young Davidson Fellowship winners 14:10

12M ago14:10

14:10

Ethan Zhao and Edward Yu are the winners in mathematics of the prestigious Davidson Fellow Scholarships, awarded based on projects completed by students under 18. Ethan's project was on learning models and Edward's was on combinatorics. It was math contests and the MIT Primes program that gave them the background to do original research in high sch…

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Episode91-Dr. Paul Gray and Dr. Cory Bennett, "Supporting All Students Through Flexible Grouping Practices" 31:04

1y ago31:04

31:04

Episode91-Dr. Paul Gray and Dr. Cory Bennett, "Supporting All Students Through Flexible Grouping Practices"由NCSM Leadership in Mathematics Education

1
ZEROS OF A POLYNOMIAL 9:09

1y ago9:09

9:09

Algebraic expressions involve polynomials for which students struggle to find out the zeros. Here are some tips to find the zeros of polynomials in different types.#mathematicssimplified#mathisfun#learningbydoing#experientiallearning

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