Goldbach's conjecture states that every even number that is greater than 2 can be written as the sum of two prime numbers. For example, consider the... Learn more about this topic: Conjecture in Math | Definitio
In math, the term “conjecture” refers to a specific statement that is thought to be true but has not been proven.In geometry, there are many different conjectures, such as the sum of angles in a triangle, linear pair, parallel lines and inscribed angle conjectures. One conjecture used in...
It’s easy for teachers to see the role of critical thinking in a more macro process. By analyzing and critiquing the work of others—especially experts—students have to temporarily merge minds with them (or else they’re just producing conjecture that sounds smart). By thinking critically, t...
Hanna and Bender are having none of it. They decide to replace the term “AI’’ with “mathy math”—you know, just lots and lots of math. The irreverent phrase is meant to collapse what they see as bombast and anthropomorphism in the sentences being quoted. Pretty soon Hanna, a socio...
Mathematics has a problem. Well, lots of problems, actually. (My favorite is theKakeya Conjecture.) But I’m talking about a culture problem, a communication problem: the gap between mathematics aswrittenand mathematics aspracticed. Mathematicalworkis full of loop-de-loops and dead ends. It’...
What did Arthur Cayley contribute to math? What is the AAA theorem? What is Euclid's importance in mathematics? What is the theory behind the variable and its use? What makes a good conjecture? Write a list of key points that would help somebody to devise a suitable conjecture to investiga...
Test the conjecture with additional data. Devise a proof showing the conjecture to be correct. The proof should start with known facts and end with the desired result. Fermat's Last Theorem, therefore, was really a conjecture for 356 years and only became a true theorem in 1993. Others, su...
I also conjecture that dissatisfaction plays a role in change. One of the major implications of this study for mathematics teacher educators is that by being aware of the role that the shift in positioning in the relation to mathematics plays in facilitating change in conceptions and attitudes of...
As I argue ina new paper, mathematics is an essential component of nature that gives structure to the physical world. Honeybees and hexagons Bees in hives produce hexagonal honeycomb. Why? According to the “honeycomb conjecture” in mathematics, hexagons are the most efficient shap...
It is common to discretize this conjecture in terms of small scale . Roughly speaking, the conjecture then asserts that if one has a family of tubes of cardinality , and pointing in a -separated set of directions, then the union of these tubes should have volume . Here we shall be a ...