Syftet med det här arbetet är att undersöka och belysa vad sex lärare i årskurs fyra och fem anser om det matematiska språket och det matematiska samtalet, hur lärarna anser sig arbeta med samtalet och språket i undervisningen samt hur lärarna genom samtalet stödjer eleverna. Vi vill med det här arbetet även undersöka hur det ser ut under en matematiklektion för att lärarna ska kunna bli medvetna om hur deras arbete kan se ut och om det stämmer överens med deras intentioner med undervisningen. Undersökningen är kvalitativ med deltagande observationer och semistrukturerade intervjuer. Utifrån begreppsteorier har vi arbetat fram samtalskategorier och språkkategorier som vi har använt oss av vid sammanställandet av data. Resultatet av denna undersökning har visat att lärarna ser positivt på arbetet med det matematiska samtalet och ett matematiskt språk, och vill ge tid och plats till detta i undervisningen. Samtliga lärare använder sig i hög grad av ett matematiskt språk och lärarna beskriver flera olika sätt att genom samtalet stödja eleverna på. Under de observerade lektionerna förekom främst metoden lotsning i de stödjande samtalen, något som även forskning visat vara en vanligt använd metod.

Servera R&S AB is Sweden’s largest wholesale company within the restaurant and food service industry. Servera R&S AB is the daughter company to Axel Johnson AB, which in turn is a part of the Axel Johnson Group with Antonia Ax:son Johnson as the owner. Servera is a nation wide company with a business concept of offering a complete selection of merchandise and services to the professional food service market. The company is split into for different regions: the north region, the middle region, the southwest region, and the southeast region and has its headquarter in Stockholm. In every region there is a regional office and warehouse. The southeast region includes Blekinge, Småland, Öland, Gotland, Östergötland and Stockholm including Södertälje. The regional warehouse as well as the sales office for this region is located in Norrköping. Servera is heavily dependent on road transportations. There are approximately 38 deliveries leaving the regional warehouse in Norrköping on a daily basis. These are either delivered directly to the customer or to distribution points in the region. These factors create a high importance when the routes are planed out. The deliveries today are on fixed routes and the work to coordinate the deliveries is done by the delivery supervisor. The planning of the routes is always done one day in advance, meaning that the deliveries planed out today will be sent out tomorrow. The issue evolving by this is the delivery supervisor estimating the number of trucks that will be needed the following day. The only tool the supervisor has to use for this is Servera’s internal database system called Servo. Servo is a complete ASW-system, modified to serve Servera’s wholesale of provisions. Servo contains information about customers, incoming deliveries, stock, deliveries, purchases, sales, etc. The southeast region plans to introduce a new routing system to its operation. Today’s route planning is somewhat inefficient and non-flexible. The goal is to increase the efficiency and lower the logistic cost, but at the same time maintain the current service for the customers. The routingprogram in mind is Roadshow 1.5, which is owned and developed by Canadian based Descartes System Group Inc. located in Waterloo. Roadshow 1.5 is a dynamic route planning system developed to ease the work of planning deliveries. Roadshow lets the user create, edit, update, and simulate routes based on conditions in the operation. At every simulation, Roadshow will consider the cost factors that have been preprogrammed and will calculate and propose the most cost efficient route for the deliveries. The purpose of this project was to get a better understanding of how an introduction of the route planning system, Roadshow 1.5, will affect the southeast region operations with regards to cost, routine, flow as well as the administration in general. In order to achieve this, two scenarios were simulated in Roadshow. In the first scenario, the fixed routes were kept but they were reorganized in order to try to cut back cost. In the second scenario Roadshow was allowed to completely create new routes based on the conditions for Servera. The results were then reviewed and analyzed resulting in an answer to if Roadshow is a profitable investment for the southeast region of Servera.

<p>Servera R&S AB is Sweden’s largest wholesale company within the restaurant and food service industry. Servera R&S AB is the daughter company to Axel Johnson AB, which in turn is a part of the Axel Johnson Group with Antonia Ax:son Johnson as the owner. </p><p>Servera is a nation wide company with a business concept of offering a complete selection of merchandise and services to the professional food service market. The company is split into for different regions: the north region, the middle region, the southwest region, and the southeast region and has its headquarter in Stockholm. In every region there is a regional office and warehouse. The southeast region includes Blekinge, Småland, Öland, Gotland, Östergötland and Stockholm including Södertälje. The regional warehouse as well as the sales office for this region is located in Norrköping. </p><p>Servera is heavily dependent on road transportations. There are approximately 38 deliveries leaving the regional warehouse in Norrköping on a daily basis. These are either delivered directly to the customer or to distribution points in the region. These factors create a high importance when the routes are planed out. </p><p>The deliveries today are on fixed routes and the work to coordinate the deliveries is done by the delivery supervisor. The planning of the routes is always done one day in advance, meaning that the deliveries planed out today will be sent out tomorrow. The issue evolving by this is the delivery supervisor estimating the number of trucks that will be needed the following day. The only tool the supervisor has to use for this is Servera’s internal database system called Servo. Servo is a complete ASW-system, modified to serve Servera’s wholesale of provisions. Servo contains information about customers, incoming deliveries, stock, deliveries, purchases, sales, etc. </p><p>The southeast region plans to introduce a new routing system to its operation. Today’s route planning is somewhat inefficient and non-flexible. The goal is to increase the efficiency and lower the logistic cost, but at the same time maintain the current service for the customers. The routingprogram in mind is Roadshow 1.5, which is owned and developed by Canadian based Descartes System Group Inc. located in Waterloo. Roadshow 1.5 is a dynamic route planning system developed to ease the work of planning deliveries. </p><p>Roadshow lets the user create, edit, update, and simulate routes based on conditions in the operation. At every simulation, Roadshow will consider the cost factors that have been preprogrammed and will calculate and propose the most cost efficient route for the deliveries. </p><p>The purpose of this project was to get a better understanding of how an introduction of the route planning system, Roadshow 1.5, will affect the southeast region operations with regards to cost, routine, flow as well as the administration in general. In order to achieve this, two scenarios were simulated in Roadshow. In the first scenario, the fixed routes were kept but they were reorganized in order to try to cut back cost. In the second scenario Roadshow was allowed to completely create new routes based on the conditions for Servera. The results were then reviewed and analyzed resulting in an answer to if Roadshow is a profitable investment for the southeast region of Servera.</p>

Inom grossistbranschen associeras distributionen med svårigheter så som många kunder, små godsvolymer per kund och krav på korta ledtider. Många kunder kräver dessutom leveranser inom vissa tidsfönster. Dessa faktorer ställer höga krav på logistiken och skapar behov om hög leveransservice. Inom transportbranschen råder idag generellt en relativt låg datormognad. Sedan tidigare finns avancerade digitala informationssystem tillgängliga för inköp, ordermottagning och lagerkontroll. Utvecklingen går dock mot att även logistik- och transportavdelningarna i större utsträckning börjar använda sig av mer avancerade transporttekniska hjälpmedel. Exempel på sådana är ruttoptimeringsprogram som kan användas för att beräkna optimala körvägar. Servera R&amp;S är en restauranggrossist som har ett antal lager utspridda i Sverige. Då deras kundkrets i stockholmsområdet under senare år blivit allt större har även antalet lossningsplatser ökat drastiskt. Godset till dessa förses från lager placerade i Norrköping och Västerås. Godset från Norrköping samlas och packas om i en terminal i Årsta innan det transporteras vidare till kunderna i Stockholm. Servera R&amp;S efterfrågade en analys av deras distribution i Stockholm. Detta för att undersöka om nuvarande distributionsstrategier är kostnadseffektiva. Syftet var att finna möjliga förändringar i verksamheten som skulle kunna medföra förbättringar för distributionen till kunder i Stockholm. Målet innefattade att finna förbättringsförslag som skulle innebära ett bättre användande av distributionsnätverkets resurser, minskade transportkostnader och ökad leveransservice. Inledningsvis genomfördes en nulägesanalys för att kartlägga arbetsmetoder och tillvägagångssätt vid distributionen. Utifrån intervjuer och enkätundersökningar skapades sedan en modell av distributionen i vilken det verkliga trafikarbetet efterliknades. Denna användes vid simuleringar i ett ruttoptimeringsprogram med syftet att påvisa förbättringsmöjligheter. Under analysfasen studerades distributionsprocessen och simuleringsresultaten med målet att ta fram förslag på förbättringar och annorlunda tillvägagångssätt vid terminalhantering och transport. Studien visar att det i distributionsprocessen finns stora möjligheter för förbättringar gällande terminalhantering och godstransporter. Ruttoptimeringen påvisar stora besparingsmöjligheter gällande transporttid, antalet körda kilometer och antalet använda fordon i distributionsarbetet. Simuleringsresultaten visar exempelvis en minskning av den totala transportsträckan med upp till 30 procent. Då transportsträckan står i direkt relation till transportkostnaderna skulle en sådan minskning innebära reducerade kostnader för distributionen. / Within the wholesale sector, the distribution is often associated with difficulties, such as many customers and a requirement for short lead times. A lot of customers also demand delivery within certain time windows. These factors all contribute to a high level of strain on the logistics. In general, the amount of computer usage within the transportation industry is relatively low. However, advanced information systems are available for order handling and inventory management, and a lot of software for distribution planning and vehicle routing have surfaced as of recently. These often combine digital maps and optimization algorithms, and can be used for calculating optimized routes within the distribution. Servera R&amp;S is a wholesale company with a number of warehouses in different parts of Sweden. As of lately, their clientele in Stockholm has expanded, and the number of delivery points have increased drastically. The customers in Stockholm are provided with goods from warehouses in Norrköping and Västerås. The goods from Norrköping passes through a transfer terminal in Årsta before it is delivered to the customer in Stockholm. Servera R&amp;S is requesting an analysis of their distribution in Stockholm. They want to determine whether their distribution strategies are economically effective or not. Within this study, we aim to analyze different distribution strategies, which may or may not result in improvements of the efficiency of the distribution process. The purpose is to find solutions that better use the recourses of the distribution network (i.e. vehicles and personnel etc.), increase the level of delivery service and reduce the transportation costs. A survey analysis was carried out to map work methods and procedures within the distribution process. Interviews and surveys were used in the process of creating a basis for the optimization tool. Simulations were performed in an attempt to demonstrate the possibilities for decreasing distribution costs through the use of a vehicle routing program. During the analysis, the distribution process and the results from the simulations were studied with an aim to find possible improvements in the way that goods and information are handled within the warehouses and during the transports. The study shows a lot of possibilities for improvements within the distribution process. The route optimization prove a potential for decreasing costs regarding transportation time, distances and the number of vehicles used within the distribution. For example, the simulations show that the distances can be decreased with as much as 30 percent.

<p>Inom grossistbranschen associeras distributionen med svårigheter så som många kunder, små godsvolymer per kund och krav på korta ledtider. Många kunder kräver dessutom leveranser inom vissa tidsfönster. Dessa faktorer ställer höga krav på logistiken och skapar behov om hög leveransservice.</p><p>Inom transportbranschen råder idag generellt en relativt låg datormognad. Sedan tidigare finns avancerade digitala informationssystem tillgängliga för inköp, ordermottagning och lagerkontroll. Utvecklingen går dock mot att även logistik- och transportavdelningarna i större utsträckning börjar använda sig av mer avancerade transporttekniska hjälpmedel. Exempel på sådana är ruttoptimeringsprogram som kan användas för att beräkna optimala körvägar.</p><p>Servera R&S är en restauranggrossist som har ett antal lager utspridda i Sverige. Då deras kundkrets i stockholmsområdet under senare år blivit allt större har även antalet lossningsplatser ökat drastiskt. Godset till dessa förses från lager placerade i Norrköping och Västerås. Godset från Norrköping samlas och packas om i en terminal i Årsta innan det transporteras vidare till kunderna i Stockholm.</p><p>Servera R&S efterfrågade en analys av deras distribution i Stockholm. Detta för att undersöka om nuvarande distributionsstrategier är kostnadseffektiva. Syftet var att finna möjliga förändringar i verksamheten som skulle kunna medföra förbättringar för distributionen till kunder i Stockholm. Målet innefattade att finna förbättringsförslag som skulle innebära ett bättre användande av distributionsnätverkets resurser, minskade transportkostnader och ökad leveransservice.</p><p>Inledningsvis genomfördes en nulägesanalys för att kartlägga arbetsmetoder och tillvägagångssätt vid distributionen. Utifrån intervjuer och enkätundersökningar skapades sedan en modell av distributionen i vilken det verkliga trafikarbetet efterliknades. Denna användes vid simuleringar i ett ruttoptimeringsprogram med syftet att påvisa förbättringsmöjligheter. Under analysfasen studerades distributionsprocessen och simuleringsresultaten med målet att ta fram förslag på förbättringar och annorlunda tillvägagångssätt vid terminalhantering och transport.</p><p>Studien visar att det i distributionsprocessen finns stora möjligheter för förbättringar gällande terminalhantering och godstransporter. Ruttoptimeringen påvisar stora besparingsmöjligheter gällande transporttid, antalet körda kilometer och antalet använda fordon i distributionsarbetet. Simuleringsresultaten visar exempelvis en minskning av den totala transportsträckan med upp till 30 procent. Då transportsträckan står i direkt relation till transportkostnaderna skulle en sådan minskning innebära reducerade kostnader för distributionen.</p> / <p>Within the wholesale sector, the distribution is often associated with difficulties, such as many customers and a requirement for short lead times. A lot of customers also demand delivery within certain time windows. These factors all contribute to a high level of strain on the logistics.</p><p>In general, the amount of computer usage within the transportation industry is relatively low. However, advanced information systems are available for order handling and inventory management, and a lot of software for distribution planning and vehicle routing have surfaced as of recently. These often combine digital maps and optimization algorithms, and can be used for calculating optimized routes within the distribution.</p><p>Servera R&S is a wholesale company with a number of warehouses in different parts of Sweden. As of lately, their clientele in Stockholm has expanded, and the number of delivery points have increased drastically. The customers in Stockholm are provided with goods from warehouses in Norrköping and Västerås. The goods from Norrköping passes through a transfer terminal in Årsta before it is delivered to the customer in Stockholm.</p><p>Servera R&S is requesting an analysis of their distribution in Stockholm. They want to determine whether their distribution strategies are economically effective or not. Within this study, we aim to analyze different distribution strategies, which may or may not result in improvements of the efficiency of the distribution process. The purpose is to find solutions that better use the recourses of the distribution network (i.e. vehicles and personnel etc.), increase the level of delivery service and reduce the transportation costs.</p><p>A survey analysis was carried out to map work methods and procedures within the distribution process. Interviews and surveys were used in the process of creating a basis for the optimization tool. Simulations were performed in an attempt to demonstrate the possibilities for decreasing distribution costs through the use of a vehicle routing program. During the analysis, the distribution process and the results from the simulations were studied with an aim to find possible improvements in the way that goods and information are handled within the warehouses and during the transports.</p><p>The study shows a lot of possibilities for improvements within the distribution process. The route optimization prove a potential for decreasing costs regarding transportation time, distances and the number of vehicles used within the distribution. For example, the simulations show that the distances can be decreased with as much as 30 percent.</p>