mathematical concepts

USAGE SUMMARY

The phrase 'mathematical concepts' is correct and usable in written English.
You can use it to refer to ideas or principles related to mathematics, such as ratios, equations, and fractions. For example, you might write, "This course covers a wide range of mathematical concepts, including algebra, trigonometry, and calculus."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

'Knowing mathematics means being able to use mathematical concepts mathematically: the two cannot be separated'.

International Journal of STEM Education

Mathematics is based on exact concepts and there is not vagueness for mathematical concepts.

Mathematical Sciences

Mathematical concepts, once learned, become tools.

The New York Times

In creating movement sequences, Mr. Jones uses mathematical concepts.

The New York Times - Arts

The students are applying important mathematical concepts as well as learning about design, graphics and photography.

The New York Times

It's like those mathematical concepts I could never understand in high school: If, then.

The New Yorker

Students learn important mathematical concepts that meet state and national standards, or expectations, for student learning.

The New York Times

Several mathematical concepts have been named for him, including Coxeter groups.

The New York Times

Other works in the exhibition offer a more direct visualization of strict mathematical concepts and ideas.

The New York Times

A consensual hallucination experienced daily by billions of legitimate operators, in every nation, by children being taught mathematical concepts..

The Guardian - Books

Overview of Lesson Plan: In this lesson, students learn about mathematical concepts used to compare different types of vehicles.

The New York Times

Expert writing Tips

Best practice

When discussing specific areas of mathematics, use precise terminology (e.g., "algebraic concepts", "geometric principles") to ensure clarity and avoid ambiguity.

Common error

Avoid using "mathematical concepts" as a catch-all term when you can be more specific. Instead of saying "students struggled with mathematical concepts", identify the particular concepts (e.g., "calculus", "linear algebra") to provide targeted feedback and improve understanding.

Linguistic Context

The phrase "mathematical concepts" functions primarily as a noun phrase, serving as the subject or object within a sentence. As Ludwig AI points out, it denotes ideas, principles, or notions related to mathematics. Examples show its use in various contexts, from education to scientific research.

Expression frequency: Very common

Frequent in

Science

33%

News & Media

31%

Encyclopedias

12%

Less common in

Wiki

5%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "mathematical concepts" is a grammatically sound and frequently used term, primarily functioning as a noun phrase to refer to ideas and principles within mathematics. As highlighted by Ludwig, it's appropriate for formal, scientific, and educational contexts, where precision is paramount. While versatile, it's crucial to use specific terminology when possible to avoid overgeneralization. The phrase appears predominantly in science, news media, and encyclopedic sources, reflecting its relevance across various domains. Overall, understanding the nuances of "mathematical concepts" enhances clarity and accuracy in mathematical communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical principles

Replaces "concepts" with "principles", emphasizing foundational rules and doctrines within mathematics.

mathematical ideas

Substitutes "concepts" with "ideas", focusing on the thoughts and notions related to mathematics.

numerical concepts

Specifies "concepts" as relating to numbers, narrowing the scope to quantitative aspects of mathematics.

arithmetic concepts

Replaces "mathematical" with "arithmetic", focusing on basic operations and number theory.

algebraic concepts

Specifies "mathematical" as "algebraic", limiting the scope to algebraic principles and methods.

geometric concepts

Specifies "mathematical" as "geometric", restricting the scope to geometric shapes, properties and spatial relationships.

mathematical notions

Replaces "concepts" with "notions", suggesting a more general or preliminary understanding of mathematical ideas.

mathematical formalisms

Shifts focus to the symbolic systems and structures used to express mathematical ideas, which can be more technically oriented than general concepts.

fundamental mathematical constructs

Emphasizes the basic building blocks or core elements within mathematical frameworks.

advanced mathematical theories

Broadens the scope to encompass entire theoretical frameworks within mathematics, suggesting a higher level of complexity and abstraction.

FAQs

How can I use "mathematical concepts" in a sentence?

You can use "mathematical concepts" to refer to the fundamental ideas and principles within mathematics. For example, "The curriculum focuses on mastering basic "arithmetic concepts" before introducing more complex topics."

What are some alternative phrases for "mathematical concepts"?

Alternatives include phrases like "mathematical principles", "numerical concepts", or "arithmetic concepts", depending on the specific context.

What is the difference between "mathematical concepts" and "mathematical theories"?

"Mathematical concepts" refer to basic ideas and principles, while "mathematical theories" are more developed, abstract frameworks built upon these concepts. Theories provide a broader, more structured understanding.

Is it appropriate to use "mathematical concepts" in formal writing?

Yes, "mathematical concepts" is suitable for formal writing, particularly in academic, scientific, and technical contexts. It's a clear and professional way to refer to ideas within mathematics.