pure mathematics

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Related to Abstract mathematics: pure mathematics, Abstract algebra
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the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

References in periodicals archive ?
In addition, future research could explore how visual representation facilitates students understanding of abstract mathematics concepts, and how this differs as a function of the level of prior knowledge.
In this work, the team designed holograms using knot theory - a branch of abstract mathematics inspired by knots that occur in shoelaces and rope.
If the purity of abstract mathematics is incomplete, what hope is there for completion in any messy physical process?
Researchers at Ohio State University question the importance of using real-life examples to teach abstract mathematics concepts, based on the results of a randomized trial, controlled experiment in which college students were tested using both concrete and abstract approaches to learning an unfamiliar mathematical system.
The package is designed to combine data and graphics "in a progressive structure to make discoveries" and to put statistical research capabilities within reach of users who lack experience interpreting and reporting statistical data, or have no background in abstract mathematics. Illustrated with screen captures, formulas, tables and diagrams, the first four chapters guide the reader through the software's interface and commands, including configuration of graphs, reports and data tables.
It is about the relationship between the positive abstract mathematics and the concrete nature.
Cohen's EQUATIONS FROM GOD: PURE MATHEMATICS AND VICTORIAN FAITH (0801885331, $50.00) discusses the rebirth of abstract mathematics and its connection to efforts to 'touch the mind of God'.
The formative assessment and intervention resources included in this edition reportedly enable teachers to evaluate their students' grasp of computational and abstract mathematics skills and then adjust instruction with resources already included in the program.
Numeracy in the workplace differs from formal, rule-based abstract mathematics taught in school and requires training that is relevant to the specific applications of the skill.
"Conceptual art has had a long history of exploring theoretical ideas, such as abstract mathematics, in sensory form, providing the perfect basis for this type of exploration."
Whether we like it or not, our children will be concerned in the future with more abstract mathematics than their predecessors.
Through The Algebra Project, Moses has worked with middle schools to develop creative, game-centered mathematics curricula that expose students to abstract mathematics and prepare them for high school algebra.
So if dispositions are being produced in the home, they are not simply reflecting what parents already have experienced (part of Teese's argument about why such children do well at more abstract mathematics).
Their interests include fostering concept development, making abstract mathematics concepts understandable, modeling activity-based pedagogy and increasing urban student achievement.
Physicist Eugene Wigner famously marveled at the "unreasonable effectiveness of mathematics in the natural sciences." The efficacy of abstract mathematics in describing natural processes has led many thinkers to conclude that the universe must be constructed along mathematical lines.