Mathematics as the Science of Patterns : Making the Invisible Visible to Students Through Teaching

Name: Mathematics as the Science of Patterns : Making the Invisible Visible to Students Through Teaching
Author: Patrick M. Jenlink
ISBN: 9781648027451

Patrick M. Jenlink

Language: English

Published by Information Age Publishing, 2022

1648027458 / 9781648027451

Hardcover
New

See all details

Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

5-star seller

AbeBooks seller since August 14, 2006

View this seller's items

Hardcover

Condition: New

£ 152.02

£ 30.03 shipping

Ships from Germany to U.S.A.

Quantity: 1 available

Add to basket

Free 30-day returns

Save for laterCreate a Want for similar items

Item description from seller

nach der Bestellung gedruckt Neuware - Printed after ordering - This book explores the role of patterns in teaching mathematics, emphasizing their importance in helping students understand and enjoy math. It highlights the need for teacher development to improve student learning and discusses how recognizing patterns aids in generalization and abstraction, essential skills in mathematics education.

Seller Inventory # 9781648027451

Contact seller about this item

Report this item

Title: Mathematics as the Science of Patterns : Making the Invisible Visible to Students Through Teaching
Author: Patrick M. Jenlink
Publisher: Information Age Publishing
Publication year: 2022
Condition: Neu
Binding: Buch
Language: English
ISBN 10: 1648027458
ISBN 13: 9781648027451
Item weight: 567 grams
Dimensions: 240x161x19 mm

Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

"Synopsis" may belong to another edition of this title.

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

Shipping rates from Germany to U.S.A.

Item	7 to 10 business days	5 to 7 business days
First item	£ 30.03	£ 38.61

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Payment methods

Bank Wire Transfer
Check
Paypal

Store description

Das Unternehmen AHA-BUCH GmbH: Seit der Gründung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisgünstig wie möglich ihren Bücherwunsch zu erfüllen. Unsere Firma beschäftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine Wünsche! Auf über 3700 m2 Fläche haben wir über 100.000 Bücher, Modernes Antiquariat und Spiele auf Lager.

Specialty

Kinderbücher & Kinderhör Casetten, German Books, Software, Natur & Tiere, Ratgeber, Sachbücher, Englische Bücher, Medizin & Gesundheit, Universität & Studium

Seller's business information

AHA-BUCH GmbH

Garlebsen 48
Einbeck, Germany 37574

Contact sellerView this seller's itemsView seller's storefront

Terms of sale

Imprint

Seller Info:

AHA-BUCH GmbH
represented by the managing director Christel Glass
Garlebsen 48
37574 Einbeck
Deutschland
Telefon: 055639996039
Telefax: 055639995974
E-Mail: abebooks@aha-buch.de
USt-IdNr.: DE261904229
registered at Commercial register Amtsgerichtes Göttingen
Handelsregisternummer HRB 200691

Alternative dispute resolution:
The European Commission provides a platform for out-of-court online dispute resolution (ODR platform), which can be accessed under https://ec.europa.eu/odr.

We have been a member of the "FairCommerce" initiative since 25.05.2018.
For more information, see www.fair-commerce.de.

Right of withdrawal

If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.

Information regarding the right of withdrawal

Statutory right to withdraw

You have the right to withdraw from this contract within 14 days without giving any reason.

The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.

To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.

To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.

Effects of withdrawal

If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).

We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.

We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.

We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.

We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.

You shall send back the goods or hand them over to AHA-BUCH GmbH, Einbeck, Germany, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.

Exceptions to the right of withdrawal

The right of withdrawal does not apply to:

The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.

Shipping terms

We ship your order after we received them
for articles on hand latest 24 hours,
for articles with overnight supply latest 48 hours.
In case we need to order an article from our supplier our dispatch time depends on the reception date of the articles, but the articles will be shipped on the same day.

Our goal is to send the ordered articles in the fastest, but also most efficient and secure way to our customers.

Mathematics as the Science of Patterns : Making the Invisible Visible to Students Through Teaching

Item description from seller

Bibliographic details

Synopsis

About the title

About the Author

AHA-BUCH GmbH

Shipping rates from Germany to U.S.A.

Payment methods

Store description

Specialty

Seller's business information

Terms of sale

Right of withdrawal

Shipping terms