A case for combinatorics: A research commentary
In this commentary, we make a case for the explicit inclusion of combinatorial topics in
mathematics curricula, where it is currently essentially absent. We suggest ways in which …
mathematics curricula, where it is currently essentially absent. We suggest ways in which …
Investigating undergraduate students' proof schemes and perspectives about combinatorial proof
SA Erickson, E Lockwood - The Journal of Mathematical Behavior, 2021 - Elsevier
Combinatorics is an area of mathematics with accessible, rich problems and applications in
a variety of fields. Combinatorial proof is an important topic within combinatorics that has …
a variety of fields. Combinatorial proof is an important topic within combinatorics that has …
Toward a model for students' combinatorial thinking
N Salavatinejad, H Alamolhodaei… - The Journal of …, 2021 - Elsevier
Combinatorics has many applications in different disciplines, however, only a few studies
have explored students' combinatorial thinking at the upper secondary and tertiary levels …
have explored students' combinatorial thinking at the upper secondary and tertiary levels …
Undergraduate students' combinatorial proof of binomial identities
E Lockwood, Z Reed, S Erickson - Journal for Research in …, 2021 - pubs.nctm.org
Combinatorial proof serves both as an important topic in combinatorics and as a type of
proof with certain properties and constraints. We report on a teaching experiment in which …
proof with certain properties and constraints. We report on a teaching experiment in which …
Investigating combinatorial provers' reasoning about multiplication
SA Erickson, E Lockwood - International Journal of Research in …, 2021 - Springer
Combinatorial proof is an important topic both for combinatorics education and proof
education researchers, but relatively little has been studied about the teaching and learning …
education researchers, but relatively little has been studied about the teaching and learning …
[图书][B] Student approaches to combinatorial enumeration: The role of set-oriented thinking
EN Lockwood - 2011 - search.proquest.com
Combinatorics is a growing topic in mathematics with widespread applications in a variety of
fields. Because of this, it has become increasingly prominent in both K-12 and …
fields. Because of this, it has become increasingly prominent in both K-12 and …
Documenting students' faulty schema and misconceptions about combinations and permutations
LC Pittman, GL Herman - 2015 IEEE Frontiers in Education …, 2015 - ieeexplore.ieee.org
STEM educators have devoted increasing attention to discrete mathematics in recent years
due, in part, to its strong connections with subjects like computer science, probability and …
due, in part, to its strong connections with subjects like computer science, probability and …