{"title":"Context For Learning Math","description":null,"products":[{"product_id":"teachers-lounge-book-catherine-twomey-fosnot-9780325010229","title":"The Teachers' Lounge","description":"\u003cb\u003e\u003ci\u003eThe Teachers' Lounge: Place Value and Division \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Multiplication and Division\u003c\/i\u003e (3 - 5) The focus of this unit is division. It begins with the story of a teacher noticing a service person in the teachers' lounge fill two different vending machines with beverages. In the first machine, there are bottles of water only. The machine holds 156 bottles of water when full and the teacher wonders how many six-packs that might be. The second problem involves the juice machine. It also holds 156 bottles when full, but the bottles are partitioned into six columns because there are six different flavors of juice. The teacher wonders how many there are of each flavor. Although most students do not realize it at the start, the two problems are related. The first problem is a quotative division situation - the amount in each group is known, the number of groups is not. The second problem is a partitive division situation - the number of groups is known, the amount in each group is not. The problems are juxtaposed and given together to encourage students to examine the relationship between the two kinds of division. This story context of the teachers' lounge sets the stage for a series of investigations designed to support the development of a repertoire of strategies for multiplication and division, including the use of: - the ten-times strategy - partial products and partial quotients - the associative property - the distributive property of multiplication over addition - the basis for the long division algorithm Several minilessons for multiplication and division are also included in the unit. These are structured as strings of related problems designed to more explicitly guide learners toward computational fluency. Toward the end of the unit, discussion shifts to how the context of a division problem influences what to do with the remainder. Note: The context for this unit assumes that your students will have had prior experience using arrays for multiplication. If this is not the case, you might find it helpful to use the unit\u003ci\u003e Muffle's Truffles\u003c\/i\u003e first. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49724347908369,"sku":"CIN0325010226G","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010226.jpg?v=1750813150"},{"product_id":"minilessons-for-early-addition-and-subtraction-book-catherine-twomey-fosnot-9780325010137","title":"Minilessons for Early Addition and Subtraction","description":"At the end of World War I, the nation's railroads were eager to replace their abundance of war-weary steam locomotives with sleek new diesel engines. From Cape May to Bayonne, New Jersey's tracks were soon humming with diesels while the old steamers were nudged onto the scrap tracks of the Central New Jersey, the Erie, and the New York, Susquehanna \u0026amp; Western Railroads, among others. Powering a commuter train to Dover or a sand train to Millville's Wheaton glass plant, the diesels instantly proved their worth, praised by railroad employees for their ease of running and maintenance. In an era when most clothes were dried outside, the public accepted the new lack of trackside coal ash with gusto. Steam to Diesel in New Jersey presents the mixed era of late-steam and early-diesel power on the big and small railroads of New Jersey, from the mid-1940s to the end of the 1950s. From the Baldwins to the Alcos, the steam-spewing Behemoths to the smooth-running RS series, this engaging collection of vintage photographs remembers a time filled with wonder and change. With nearly two hundred images, Steam to Diesel in New Jersey showcases the departing steam engines and the emerging diesels that ushered in a new period of railroad history.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49772987908369,"sku":"CIN0325010137G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50328357273873,"sku":"CIN0325010137VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010137.jpg?v=1750974284"},{"product_id":"ages-and-timelines-book-catherine-twomey-fosnot-9780325010144","title":"Ages and Timelines","description":"Inside Pierrot lunaire: Performing the Sprechstimme in Schoenberg's Masterpiece is a handbook on the performance and interpretation of the recitation in Arnold Schoenberg's Pierrot lunaire, op. 21. Presenting a guide for the listener and an aid to the interpreter of the 21 melodramas, the book provides an original English translation of each poem, annotated with references to other poems in the cycle, including some of the texts Schoenberg omitted. The volume also offers an analysis of the Sprechstimme in each melodrama in the context of the surrounding texture and directed by the principles of analysis Schoenberg established in his essays and lectures. Inside Pierrot lunaire makes a case for the importance of the notated pitches in a correct performance of the Sprechstimme. Acclaimed singer Phyllis Bryn-Julson and music theorist Paul Mathews provide a method for performing the Sprechstimme that considers Schoenberg's performing directions, his sometimes-contradictory statements, the recording Schoenberg conducted in 1939, and the burgeoning scholarship on speech-melody. Bryn-Julson and Mathews also examine the role played by Albertine Zehme, the singing actress who commissioned Pierrot, whose part in its creation has been minimized in previous studies. The discussion of Sprechstimme is informed by a genuine oral tradition running from Eduard Steuermann, the pianist who coached Zehme's premiere of the piece, to Ms. Bryn-Julson's own interpretation. The volume also provides a bibliography of sources and an index.","brand":"WoB","offers":[{"title":"US \/ WELL_READ \/ SBYB","offer_id":49773976977681,"sku":"CIN0325010145A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50761825943825,"sku":"CIN0325010145G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50761826107665,"sku":"CIN0325010145VG","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010145.jpg?v=1751357646"},{"product_id":"beads-and-shoes-making-twos-book-catherine-twomey-fosnot-9780325010076","title":"Beads and Shoes, Making Twos","description":"\u003cb\u003e\u003ci\u003eBeads and Shoes, Making Twos: Extending Number Sense \u003c\/i\u003e\u003c\/b\u003eis one of eight units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Number Sense, Addition, and Subtraction\u003c\/i\u003e (K - 3) This unit begins with the context of walking in line - two lines of children holding hands. The context encourages children to explore doubles while also strengthening their understanding of one-to-one correspondence. As the unit progresses, children explore containers that could hold doubles (such as egg cartons, English muffin packages, and juice boxes). Then the context shifts to an examination of pairs of shoes for varying numbers of people. As children investigate these situations, they explore both pairing and doubling - for instance, how six pairs of shoes can also be seen as six right shoes plus six left shoes (six sets of two or two sets of six). Later children work with larger numbers and the terminology of odds and evens is introduced. In the second week, the story \u003ci\u003eGrandma's Necklaces\u003c\/i\u003e is used to develop a context for several investigations related to patterns made with two colors. The first necklace (one blue\/one green repeating) can only be made with an even number of objects, because the unit that repeats has two objects. The second necklace (five blue\/five green repeating) and the third necklace (three blue\/three green repeating) challenge children to see a group of objects doubled as the unit that repeats. Minilessons in the unit are crafted to support the automatizing of doubles and their use in solving near doubles - for example, using 6 + 6 to solve 6 + 7, or 10 + 10 to solve 9 + 10. Quick images and the arithmetic rack are both used with strings of related problems. The unit also includes the Shoe Game. This game can be played throughout the year for further support in developing the use of doubles as an addition strategy. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49891242377489,"sku":"CIN0325010072G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":52627747930385,"sku":"CIN0325010072A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010072.jpg?v=1751006557"},{"product_id":"organizing-and-collecting-book-catherine-twomey-fosnot-9780325010113","title":"Organizing and Collecting","description":"This book considers how people talk about the location of objects and places. Spatial language has occupied many researchers across diverse fields, such as linguistics, psychology, GIScience, architecture, and neuroscience. However, the vast majority of work in this area has examined spatial language in monologue situations, and often in highly artificial and restricted settings. Yet there is a growing recognition in the language research community that dialogue rather than monologue should be a starting point for language understanding. Hence, the current zeitgeist in both language research and robotics\/AI demands an integrated examination of spatial language in dialogue settings. The present volume provides such integration for the first time and reports on the latest developments in this important field. Written in a way that will appeal to researchers across disciplines from graduate level upwards, the book sets the agenda for future research in spatial conceptualization and communication.\u003cbr\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49946291634449,"sku":"CIN0325010110G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50498070610193,"sku":"CIN0325010110VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010110.jpg?v=1750940855"},{"product_id":"minilessons-for-extending-addition-and-subtraction-book-catherine-twomey-fosnot-9780325011028","title":"Minilessons for Extending Addition and Subtraction","description":"This work is a complete history of the partnership between the Department of State and the United States Marine Corps. From its formation in 1775, the Corps developed a close working relationship with the diplomatic service of the Continental Congress and later, in 1798, with the newly created United States Department of State. The Marines accompanied U.S. diplomats to France in 1778 and worked closely with the State Department during the Barbary Wars and the opening of China. In 1905, an executive order by Theodore Roosevelt established a Marine Legation Guard, and the Corps played an increasingly important role in embassies across the globe. Today, the war on terrorism highlights this important relationship as Marines guard some of the most dangerous embassies in the world.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50128802971921,"sku":"CIN0325011028G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50624520159505,"sku":"CIN0325011028VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":51695742484753,"sku":"CIN0325011028A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325011028.jpg?v=1751070636"},{"product_id":"california-frog-jumping-contest-book-catherine-twomey-fosnot-9780325010243","title":"The California Frog-Jumping Contest","description":"\u003cp\u003eEurope, 1900-1914: a world adrift, a pulsating era of creativity and contradictions. The major topics of the day: terrorism, globalization, immigration, consumerism, the collapse of moral values, and the rivalry of superpowers. The twentieth century was not born in the trenches of the Somme or Passchendaele--but rather in the fifteen vertiginous years preceding World War I.\u003c\/p\u003e\u003cp\u003eIn this short span of time, a new world order was emerging in ultimately tragic contradiction to the old. These were the years in which the political and personal repercussions of the Industrial Revolution were felt worldwide: Cities grew like never before as people fled the countryside and their traditional identities; science created new possibilities as well as nightmares; education changed the outlook of millions of people; mass-produced items transformed daily life; industrial laborers demanded a share of political power; and women sought to change their place in society--as well as the very fabric of sexual relations.\u003c\/p\u003e\u003cp\u003eFrom the tremendous hope for a new century embodied in the 1900 World's Fair in Paris to the shattering assassination of a Habsburg archduke in Sarajevo in 1914, historian Philipp Blom chronicles this extraordinary epoch year by year. Prime Ministers and peasants, anarchists and actresses, scientists and psychopaths intermingle on the stage of a new century in this portrait of an opulent, unstable age on the brink of disaster.\u003c\/p\u003e\u003cp\u003eBeautifully written and replete with deftly told anecdotes, \u003cem\u003eThe Vertigo Years\u003c\/em\u003e brings the wonders, horrors, and fears of the early twentieth century vividly to life.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50167477698833,"sku":"CIN0325010242G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50579477954833,"sku":"CIN0325010242VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010242.jpg?v=1751390015"},{"product_id":"best-buys-ratios-and-rates-book-catherine-twomey-fosnot-9780325010267","title":"Best Buys, Ratios, and Rates","description":"\u003cb\u003e\u003ci\u003eBest Buys, Ratios, and Rates: Addition and Subtraction of Fractions \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Fractions, Decimals, and Percents\u003c\/i\u003e (4 - 6) The focus of this unit is the development of equivalence of fractions, proportional reasoning, and rates. It begins with a comparison of the cost of cat food at two stores: Bob's Best Buys where it is on sale, $15 for 12 cans, and Maria's Pet Emporium where it is on sale, $23 for 20 cans. Several important ideas and representations develop as students explore this problem, among them finding ways to determine the cost of a common numbers of cans for comparison and the use of the ratio table to represent their proportional reasoning about the context. The development of the ratio table is further supported in the next investigation as students work to determine the cost of several different amounts of bird seed sold by weight. As the unit progresses, proportional reasoning is once again the focus as students develop recipes for a variety of containers, using the recipe of Maria's gourmet puppy snack mix. In the second week the double number is introduced for computation as students investigate the readings on a farm truck's gas tank over the course of trips to several neighboring farms to pick up produce. A trip across the Pennsylvania Turnpike is also explored. This unit also includes several minilessons for addition and subtraction of fractions. Strings of related problems are used initially using money and clock models. Double number lines are introduced later in the unit to enable students to develop generalizable, strategies for addition and subtraction. This model supports students to choose a common multiple (or factor) to work with as well as further opportunities to explore equivalent fractions. Note: The context for this unit assumes that your students have had prior experience with fractions and their relationship to division with whole numbers. If this is not the case, you might find it helpful to first use the units \u003ci\u003eField Trips and Fund-Raisers\u003c\/i\u003e. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50167479042321,"sku":"CIN0325010269G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50779084423441,"sku":"CIN0325010269VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010269.jpg?v=1750844412"},{"product_id":"groceries-stamps-and-measuring-strips-book-catherine-twomey-fosnot-9780325010168","title":"Groceries, Stamps, and Measuring Strips","description":"\u003cp\u003eWith his gift for language, eye for detail and consistent tone of voice, \u003cb\u003eLarry Duplechan \u003c\/b\u003ehas the makings to be a major literary figure. -\u003ci\u003eEdge Publications\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis is the first novel by \u003cb\u003eLarry Duplechan\u003c\/b\u003e in fifteen years, and the fourth to feature his alter ego protagonist Johnnie Ray Rousseau, a gay black man of Louisiana Creole stock. When we first met Johnnie Ray in the novel \u003ci\u003eBlackbird\u003c\/i\u003e, he was a gay teenager in love with the star of a high school play; now he's forty-eight, still handsome and gym-built, but admittedly vain and looking down the short road to fifty. In the midst of a midlife crisis, he falls for a much younger man with some serious Daddy issues; throughout it all, Johnnie Ray tries to look at love (and his life) from both sides now (to borrow a phrase from his idol Joni Mitchell). \u003ci\u003eGot 'Til It's Gone \u003c\/i\u003eis a queer romantic comedy for the ages.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eLarry Duplechan \u003c\/b\u003eis the author of four previous novels, including \u003ci\u003eBlackbird\u003c\/i\u003e, published in a new edition by Arsenal Pulp Press in 2006. He is a deacon at the Metropolitan Community Church in the Valley in North Hollywood, California.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50167494476049,"sku":"CIN0325010161G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52114002837777,"sku":"CIN0325010161VG","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010161.jpg?v=1751196195"},{"product_id":"field-trips-and-fund-raisers-book-catherine-twomey-fosnot-9780325010236","title":"Field Trips and Fund-Raisers","description":"\u003cb\u003e\u003ci\u003eField Trips and Fund-Raisers: Introducing Fractions \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Fractions, Decimals, and Percents\u003c\/i\u003e (4 - 6) The focus of this unit is the development of fractions. It begins with the story of a class field trip. The class is split into four groups and each group is given submarine sandwiches to share for lunch. Upon returning from their trip, the students quarrel over whether some received more to eat than others. Note: This unit begins with the fair sharing of submarine sandwiches on a field trip. This context was field-tested by the Freudenthal Institute and the University of Wisconsin, under the direction of Thomas Romberg and Jan de Lange, in preparation for the writing of \u003ci\u003eMathematics in Context: Some of the Parts\u003c\/i\u003e (van Galen, Wijers, Burrill, and Spence 1997) and it has been researched and written about extensively as it is used in this unit by Fosnot and Dolk (2002). This story sets the stage for a series of investigations. First, students investigate whether the situation in the story was fair - was the quarreling justified? - thereby exploring the connection between division and fractions, as well as ways to compare fractional amounts. As the unit progresses, students explore other cases to determine fair sharing and then make a ratio table to ensure fair sharing during their future field trips. They also design a 60k bike course for a fund-raiser, a context that introduces a bar model for fractions and provides students with another opportunity to explore equivalent fractions. Several minilessons for division of whole numbers using simplified equivalents are also included in the unit. These are structured using strings of related problems as a way to more explicitly guide learners toward computational fluency with whole number division and to build a connection to equivalent fractions. Note: The context for this unit assumes that your students have had prior experience with arrays for multiplication and division, as well as partitive and quotative division with whole numbers. If this is not the case, you might find it helpful to first use \u003ci\u003eThe Teachers' Lounge\u003c\/i\u003e and \u003ci\u003eMinilessons Throughout the Year: Multiplication and Division\u003c\/i\u003e from \u003ci\u003eInvestigations in Multiplication and Division: Grades 3 - 5.\u003c\/i\u003e To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50281139568913,"sku":"CIN0325010234G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51503534375185,"sku":"CIN0325010234VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010234.jpg?v=1750974285"},{"product_id":"measuring-for-the-art-show-book-catherine-twomey-fosnot-9780325010106","title":"Measuring for the Art Show","description":null,"brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50348435865873,"sku":"CIN0325010102G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51907271000337,"sku":"CIN0325010102VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010102.jpg?v=1751038229"},{"product_id":"box-factory-book-catherine-twomey-fosnot-9780325010205","title":"The Box Factory","description":"\u003cb\u003e\u003ci\u003eThe Box Factory: Extending Multiplication with the Array \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Multiplication and Division\u003c\/i\u003e (3 - 5) The focus of this unit is the deepening and extending of students' understanding of multiplication, specifically the associative and commutative properties and their use with computation, systematic factoring, and the extension of students' understanding of two-dimensional rectangular arrays to three-dimensional arrays within rectangular prisms. The unit includes a series of investigations based on the context of a cardboard box factory. Initially students design a variety of boxes (rectangular prisms) that hold 24 items arranged in rows, columns, and layers. The questions posed in the first investigation (how many box arrangements are possible, and how do we know for certain that we have found all the possibilities) give students an opportunity to explore the associative and commutative properties, factor pairs, doubling and halving strategies, and systematic ways of organizing their work to determine all possible cases. In the second and third investigations, students analyze the amount and cost of the cardboard needed for their boxes, deepening their understanding of the associative property, examining congruency vs. equivalency, and exploring the relationship of surface area to the shape of the box. Subsequent investigations involve using two different cubic boxes as units of measurement, and determining the volume of a shipping box that measures 4 feet by 6 feet by 4 feet. By the end of the unit, formulas for surface area and volume of rectangular prisms are the focus. Several minilessons for multiplication are included in the unit as well - these are structures as strings of related problems explicitly designed to guide learners toward computational fluency with whole-number multiplication, by focusing on factors and efficient grouping. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50348468633873,"sku":"CIN032501020XG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50937199395089,"sku":"CIN032501020XVG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/032501020X.jpg?v=1751357647"},{"product_id":"bunk-beds-and-apple-boxes-book-catherine-twomey-fosnot-9780325010069","title":"Bunk Beds and Apple Boxes","description":null,"brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50350148649233,"sku":"CIN0325010064G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50665780969745,"sku":"CIN0325010064VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010064.jpg?v=1750877803"},{"product_id":"t-shirt-factory-book-catherine-twomey-fosnot-9780325010120","title":"The T-Shirt Factory","description":"\u003cb\u003e\u003ci\u003eThe T-Shirt Factory: Place Value, Addition, and Subtraction \u003c\/i\u003e\u003c\/b\u003eis one of eight units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Number Sense, Addition, and Subtraction\u003c\/i\u003e (K - 3) This unit begins with the story of \u003ci\u003eGrandma Eudora's T-Shirt Factory.\u003c\/i\u003e Grandma Eudora is part of the Masloppy family - a large, endearing family that finds it difficult to keep track of things. Everyone is forever losing, misplacing, and looking for things. One of the children, Nicholas, decides to sort, organize, and take inventory of things in the house, including Uncle Lloyd's T-shirts, which he arranges in rolls with rubber bands. One day as Uncle Lloyd is doing the laundry, Itchy, the family dog, knocks over a bottle of bleach. The result of this mishap is colorful tie-dyed T-shirts, which Grandma begins to sell in a highly successful business - Grandma Eudora's T-Shirt Factory. The idea of the T-shirt factory is brought to the classroom as a simulation. Children work in groups (companies with factories) making and selling T-shirts and organizing their warehouses. The main focus of the unit is place value, regrouping, equivalence, and the recording of the inventory. Students keep track of inventory before and after shipping orders, as boxes and rolls in the warehouse are opened so that orders can be filled. Within the context of the need for pencil-and-paper recordings of transactions, the standard addition and subtraction algorithms are explored. The concept of place value is developed to three and four places during the simulation as children organize the warehouse: packing rolls of T-shirts (ten to a roll) in storage boxes that hold ten rolls and calculating the income from sales of T-shirts at $10 each. Students, playing the role of employees, keep accounting ledgers to record the sales of specific sizes and the total company inventory. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50350152614161,"sku":"CIN0325010129G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010129.jpg?v=1751165418"},{"product_id":"big-dinner-book-catherine-twomey-fosnot-9780325010182","title":"The Big Dinner","description":"In The Big Dinner the preparation of a turkey dinner introduces early multiplication strategies and supports automatizing the facts, using the ratio table, and developing the distributive property with large numbers. Strings of problems guide learners toward computational fluency with whole-number multiplication and build automaticity with multiplication facts by focusing on relationships.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50350157103377,"sku":"CIN0325010188G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52103533592849,"sku":"CIN0325010188VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010188.jpg?v=1751291353"},{"product_id":"minilessons-for-early-multiplication-and-division-book-catherine-twomey-fosnot-9780325010212","title":"Minilessons for Early Multiplication and Division","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50469793759505,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50469795725585,"sku":"CIN0325010218G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010218.jpg?v=1750738957"},{"product_id":"muffles-truffles-book-catherine-twomey-fosnot-9780325010199","title":"Muffles' Truffles","description":"\u003cb\u003e\u003ci\u003eMuffle's Truffles: Multiplication and Division with the Array \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Multiplication and Division\u003c\/i\u003e (3 - 5) The focus of this unit is the development of the open array as a model for multiplication and division. This unit uses a series of investigations based on the context of Muffles' Truffles shop. The questions posed in the first investigation (how many boxes of ten can be made with a given quantity of truffles; how many leftovers will there be from a given quantity and how can they be combined to make assortment boxes; and what is the cost of a given quantity of truffles if they cost $1 each) give students an opportunity to explore place value - the multiplicative structure of our base-ten system and quotative division. In the second and third investigations, students build two-dimensional blueprints of one-layer boxes and use these arrays to explore some of the big ideas in multiplication (the distributive, associative, and commutative properties). In the fourth and final investigation, students work with open arrays in the context of labeling and pricing wrapped boxes of truffles. To figure out the dimensions of the wrapped boxes (or open arrays) and the cost, students need to apply a number of big ideas previously developed in this unit. There are three different kinds of minilessons for multiplication included in the unit as well: counting around the circle, strings of related problems, and quick images. The count-around is used to support the development of place value as it relates to multiplication. The strings of related problems are explicitly designed to guide learners toward computational fluency with whole number multiplication and to build automaticity with multiplication facts by focusing on relationships. The quick images use 2 x 5 and 1 x 5 arrays as units to build larger arrays. In the last days of the unit, more complex minilessons (double-digit multiplication problems) generate a wider range of student strategies that can be explored (and modeled) with the open array. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50478616609041,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50478616838417,"sku":"CIN0325010196G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53161957982481,"sku":"CIN0325010196VG","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B0073RC1QE.jpg?v=1750877804"},{"product_id":"double-decker-bus-book-catherine-twomey-fosnot-9780325010083","title":"The Double-Decker Bus","description":null,"brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50523006763281,"sku":"CIN0325010080G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50624522060049,"sku":"CIN0325010080VG","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010080.jpg?v=1751259749"},{"product_id":"trades-jumps-and-stops-book-catherine-twomey-fosnot-9780325010151","title":"Trades, Jumps, and Stops","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50761825976593,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50761827746065,"sku":"CIN0325010153G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52011789811985,"sku":"CIN0325010153VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010153.jpg?v=1751390015"},{"product_id":"mystery-of-the-meter-book-catherine-twomey-fosnot-9780325010274","title":"The Mystery of the Meter","description":null,"brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51415680811281,"sku":"CIN0325010277VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52013319848209,"sku":"CIN0325010277G","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0325010277.jpg?v=1750813150"},{"product_id":"exploring-parks-and-playgrounds-book-catherine-twomey-fosnot-9780325010281","title":"Exploring Parks and Playgrounds","description":"\u003cb\u003e\u003ci\u003eExploring Parks and Playgrounds: Multiplication and Division of Fractions \u003c\/i\u003e\u003c\/b\u003eis one of five units in the \u003ci\u003eContexts for Learning Mathematics' Investigating Fractions, Decimals, and Percents\u003c\/i\u003e (4 - 6) The focus of this unit is the development of students' understanding of multiplication with rational numbers. The context of parks and playgrounds is used to introduce the double number line and the array models as helpful tools. Initially students are asked to explore the situation of two cousins running on a 26-mile course that winds through a park. They each ran half the course the previous year, and this year they complete 7\/12 and 5\/8 of the course, respectively. They know the exact portions they ran because of the course markers and water stations along the course. Students work to determine the number of miles that the cousins completed this year. In this first investigation, the distributive property and the use of landmark fractions (such as 1\/2) provide a focus. Next students work with the training data of a running club whose members train on a three-mile track in the park. This context is used to engage students in exploring the relationship between the operations of multiplication and division with rational numbers. Many students confuse these operations when working with fractions, so they are deliberately juxtaposed at the beginning of the unit as a way to prevent misconceptions from developing. As the unit progresses into the second week, the context of designing a playground is used to support the development of specific mathematical ideas about the commutative property of multiplication with rational numbers, about the use of the word of  to denote multiplication, and about fractional parts in relation to a changing whole. Students explore the story of two different empty lots: a section of each lot will be used as a playground, and then part of each playground will be covered with blacktop to be used for games like basketball and kickball. Both lots are the same size, but the part allocated to be a playground and the part to be blacktopped differ for each. The students investigate the problem of determining whether one lot has more blacktop, exploring equivalent, but not necessarily, congruent areas. The playground context supports students' use of an array model for multiplication, and the focus shifts to the commutative and associative properties. Several minilessons for multiplication of rational numbers are also included in the unit. These are structured using strings of related problems as a way to explicitly guide learners toward computational fluency. To learn more visit http: \/\/www.contextsforlearning.com","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51817892380945,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51817892446481,"sku":"CIN0325010285VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780325010281.jpg?v=1752471903"}],"url":"https:\/\/www.worldofbooks.com\/collections\/context-for-learning-math-book-series.oembed?page=2","provider":"World of Books ","version":"1.0","type":"link"}