Sentences with phrase «on mathematical understanding»

«A breakthrough on the mathematical understanding of Einstein's equations.»

Not exact matches

Though savvy investors, like Shakespeare's Antonio, have long understood the benefits of diversification, it was not until the 1950s when an academic named Harry Markowitz introduced research on what he called modern portfolio theory that people were able to understand diversification in an objective, mathematical sense.

Alongside and dependent on the rich development of aesthetic, scientific, and mathematical distancing arose other modes of understanding man, which were called forth initially by the practical exigencies of political life.

You said, «However, anyone with enough mathematical knowledge would find it perfectly acceptable, and understand that the «first principles» from which the proof was derived ultimately rest on human intuition.»

The universe is now understood to be a tightly integrated system based on a few elegant mathematical equations.

The latter can be found in more successful teaching programs — like the one at Waldorf School of Baltimore — that are based on inquiry - based learning, and on students» self - evaluation of their understanding of mathematical formulas and theories.

As one can classify the shapes of objects based on the mathematical concept called topology, an exotic phase of quantum matter can be understood with underlying topology and symmetry in physical materials.

In our collaboration on diabetes, for example, data generated by experimental colleagues contribute to modeling and building a concerted mathematical effort at understanding the disease.

The author offers a comprehensive account of his perspective on our understanding of the physical behavior of the universe and the mathematical theory that underlies it.

Without a mathematical description, we can get a rough handle on a phenomenon but we can't fully understand it.

Jowsey is researching methods to simplify current mathematical models used to understand the effects of temperature change — fire in his case — on building structures.

Graphene was once thought of as existing on a continuum — think of a smooth, continuous «blanket» — but the new mathematical framework allows the consideration of the blanket's «fibers,» which provides an accurate understanding of the blanket's properties that complements the continuum perspective.

Researchers at the University of Cincinnati (UC) James L. Winkle College of Pharmacy are presenting collaborative research on the use of mathematical methods for understanding the transportation of chemical compounds in biological tissues, like the skin.

In the final step in bacterial cell division, constriction of the so - called Z - ring, an annular structure that forms on the plasma membrane near the midpoint of the cell, gives rise to the two daughter cells: A research team led by Erwin Frey, who holds the Chair of Statistical and Biological Physics at LMU, has now used mathematical modelling to understand the mechanism that drives formation of the Z - ring, and in so doing have uncovered a novel class of pattern - forming mechanism in biological systems.

They built a mathematical computer model to better understand how this effect might impact on population sizes.

To understand what takes place on the surface of the insulator, they used a mathematical approach, based on a method called differential geometry.

So, if you use math for a lot of things that relate to the real world, math you can picture, and baseball is just one example of that, and I'm no expert in baseball, but I've shown and I feel I've shown over the years that just using mathematical knowledge you can glean a lot of insight into how the game works and really understand a lot of what goes on in the game.

She believes that her deafness made mathematics an appealing subject: understanding it relied much less on hearing than other subjects did, and she benefited from good teachers who encouraged her natural mathematical curiosity.

Depending on the interests of the student the project will involve mathematical and computational modelling of complex magnetic fields in plasmas, with relevance to understanding phenomena in the solar atmosphere.

«However, I see too many teachers spending too much time on preparation for the test and not enough time on developing mathematical understanding.

Students also need to understand how the circuits are laid out, which Wendt says is based on mathematical principals.

10 higher level thinking questions for deepening understanding and developing mathematical language Having studied in a course based on AFL strategies, I have a new found love (so to speak) for asking higher level questions during lessons to evoke discussion between students.

When teachers shift the focus from right or wrong answer to an emphasis on mathematical thinking, they help students to understand that their math ability can grow.

Techniques include strategies such as: developing strong mathematical content knowledge and positive attitudes towards mathematics; encouraging their students to use critical thinking and active learning; placing more emphasis on understanding rather than rules and procedures; using concrete materials and technology; and providing support and encouragement for all students.

The three principal elements of the Protocol stress that Mathematics is more than covering content, that if we design tasks well, everyone can be part of a rich mathematical experience, and that classrooms are learning environments focused on developing deep understanding.

In particular, she said, experienced math teachers are needed now more than ever, due to the new standards» emphasis on deeper understanding of mathematical concepts.

The theory offers tools that teachers can use to focus on the mathematical content taught, students» understanding of it and how to enable possibilities for learning.

According to this approach, each lesson focuses on a single mathematical concept, which the class will continue to cover until every student has a firm understanding.

Cognitively Guided Instruction (CGI) is a professional development program based on an integrated program of research focused on (a) the development of students» mathematical thinking; (b) instruction that influences that development; (c) teachers» knowledge and beliefs that influence their instructional practices; and (d) the way that teachers» knowledge, beliefs, and practices are influenced by their understanding of students» mathematical thinking.

Modeling with Mathematics: Provides hands - on experiences with concrete tools, mathematical representations and strategies needed to build and demonstrate mathematical conceptual understanding.

Goal: To improve mathematics instruction by providing district - level trainers with professional development resources focused on facilitating students» mathematical understanding through problem solving, communication and reasoning.

Key features of every professional development day are sessions that focus on mathematical theory, and pedagogical approaches that promote both conceptual understanding and mathematical knowledge.

The solution enables students to understand and interpret two - dimensional drawings to create three - dimensional models; build, test troubleshoot and revise designs to improve robot performance; Gain practical, hands - on experience using mathematical concepts such as estimating and measuring distance, time and speed.

Learn how to confer one - on - one with your students to promote mathematical understanding, encourage student communication, and lead students to assume responsibility for their learning.

This curriculum focuses on principles, patterns, systems, functions and relationships so that learners can apply their mathematical knowledge and develop a holistic understanding of the subject.

The Super Source encourages students to construct their own understanding through rich, hands - on mathematical experiences and active exploration.

It encourages students to construct their own understanding through rich, hands - on mathematical experiences and active exploration.

As students progress from elementary school through high school, they need to rely on reading comprehension not only for their literature classes, but also for solving mathematical word problems and understanding texts in science, social studies, and other subjects.

According to the revised standards, new mathematics curriculum must focus on actively engaging students in the development of mathematical understanding.

The standards call on teachers to work toward a deeper conceptual understanding and to foster mathematical reasoning.

Drawing on their observations of math teachers, the authors show how teachers can use students» work to promote mathematical thinking, explore students» understandings, and inform future instruction.

Teaching maths for mastery involves employing approaches that help pupils to develop a deep and secure knowledge and understanding of mathematics at each stage of their learning, so that by the end of every school year or Key Stage, pupils will have acquired mastery of the mathematical facts and concepts they've been exposed to, equipping them to move on confidently and securely to more advanced material.

Vitally, because maths continually builds on itself, it will mean they will have developed secure, lasting mathematical understanding on which they can build more advanced mathematical ideas at the next stage in their learning.

Instead of focusing on the ability to compute and solve, Common Core standards stress the understanding of underlying mathematical concepts.

«Maker - centered learning supports a deeper conceptual understanding, so we really appreciate the power of maker - centered learning and hands - on learning when it comes to understanding mathematical ideas, or a scientific idea, or understanding civics and how the world around us works.»

In the Focus and Quality of Evidence dimension, for example, her evaluation of effectiveness for both lessons was squarely focused on students» mathematical understanding.

The curriculum focuses on developing students» deep understandings of mathematical concepts, proficiency with key skills, and ability to solve complex and novel

The results reveal David's understanding of mathematical concepts based on his problem - solving methods.

The new standards shift some material to different grades compared to California's 1997 standards.3 The CCSS also stress reading and understanding informational texts, whereas the 1997 standards put a greater emphasis on literature.4 And the CCSS promote a deeper understanding of mathematical concepts and the use of skills to solve practical problems.

Based on a new learning model developed by Stanford that reframes the process of learning math for digital natives: Understand - Apply - Create, Redbird Mathematics systematically progresses students to mathematical mastery.