# Concept-Rich Mathematics Instruction: Building a Strong by Meir Ben-Hur

By Meir Ben-Hur

Have you questioned why scholars too usually have just a rudimentary knowing of arithmetic, why even wealthy and interesting hands-on studying doesn't continuously lead to "real" studying of latest techniques? the reply lies in no matter if scholars have really realized mathematical strategies, instead of only memorizing evidence and formulation.

Concept-Rich arithmetic guide is predicated at the constructivist view that suggestions aren't easily evidence to be memorized and later recalled, yet particularly wisdom that newbies advance via an energetic strategy of adapting to new reviews.

The teacher's function is important during this strategy. whilst lecturers steered scholars to mirror on their studies and record and resolution questions verbally, scholars needs to re-evaluate or even revise their strategies of reality.

Meir Ben-Hur deals professional assistance on all features of Concept-Rich arithmetic guideline, including
*Identifying the center recommendations of the maths curriculum.
*Planning tutorial sequences that construct upon strategies that scholars already understand.
*Designing studying stories that impress considerate discussions approximately new suggestions and get ready scholars to use those ideas on their own.
*Identifying pupil mistakes, relatively these because of preconceptions, as very important assets of knowledge and as key tutorial tools.
*Conducting school room dialogues which are wealthy in replacement representations.
*Using quite a few formative evaluation easy methods to demonstrate the country of scholars’ studying.
*Incorporating problem-solving actions that impress cognitive dissonance and improve scholars' cognitive competence.

Concept-Rich arithmetic guide is grounded within the trust that each one scholars can learn how to imagine mathematically and clear up tough difficulties. in case you are searching for a robust option to increase scholars' functionality in arithmetic and flow toward enjoyable the NCTM criteria, glance no additional: this method presents the development blocks for developing a firstclass arithmetic application.

Read Online or Download Concept-Rich Mathematics Instruction: Building a Strong Foundation for Reasoning and Problem Solving PDF

Similar decision-making & problem solving books

The Problem Solving Journey: Your Guide for Making Decisions and Getting Results

An crucial advisor to the journey of challenge fixing, with functional insights from the worlds of industrial, executive, technological know-how, drugs, legislation, and the humanities. In an financial system the place wisdom is strength, nobody can count on to be successful with out the facility to unravel problems-to assemble info, weigh strategies, make judgements, and take powerful motion.

Knowledge, Groupware and the Internet

Wisdom, Groupware, and the web info the convergence of recent wisdom administration idea and rising machine applied sciences, and discusses how they jointly allow company swap and improve an organization's skill to create and proportion wisdom. This compendium of authoritative articles explains the connection among wisdom administration and significant applied sciences allowing it: Groupware and the web.

Grasp the serious management talents and sturdy realizing of latest thought had to develop into an efficient enterprise chief in latest turbulent instances with Daft's THE management adventure, 6E. Acclaimed writer Richard Daft is helping you discover the newest considering in management thought and modern practices at paintings inside of enterprises during the international.

The Instant Survivor: Right Ways to Respond When Things Go Wrong

It is a crisis-management instruction manual that exhibits readers the 4 steps to going from head-in-the sand denial to head-held-high luck. Jim Moorhead unearths the equipment best businesses use to take on crises. In an brisk, upbeat variety - laced with compassion and practicality - he explains how executives audit their companies and attach difficulties ahead of they mushroom into messes.

Additional info for Concept-Rich Mathematics Instruction: Building a Strong Foundation for Reasoning and Problem Solving

Example text

Student W: I cannot drink a half a bottle of milk, because it’s too much . . In this example, L’s case demonstrates a meaningful general­ ization. ” The teacher facilitat­ ed both meaningful inductions and recontextualizations by questioning and probing. Note that there was a pause in the oth­ erwise lively discussion before the first examples for the new concept were generated by the students. This pause reflects the cognitive challenge of recontextualization and the importance of teacher mediation.

Appleton’s middle school class completed the geometry unit on Area and Perimeter. Her next goal was for her students to recon­ textualize their newly learned geometric concepts of area and perimeter through applications of their own. Ms. Appleton explained to her class that they would be working in groups of three to apply area and perimeter to a design or problem of their choice. Their assignment was to prepare a presentation to be made in class in two weeks. Ms. Appleton told her students that they could use the resources in the classroom, the library, or any of four Internet sites she had identified.

But if there are three feet this way and three feet that way, the whole space will be three times three feet? Boy. That is evident. Soc. And how much are three times three feet? Boy. Nine. Soc. And how much is the double of four? Boy. Eight. Soc. Then the figure of eight is not made out of a line of three? Boy. No. Soc. But from what line? Tell me exactly; and if you would rather not reckon, try and show me the line. Boy. Indeed, Socrates, I do not know. Soc. Do you see, Meno, what advances he has made in his power of recollection?