关注数学 是U.S. version of the math curriculum taught in Singapore. 学生 in Singapore consistently score at the top of international mathematics comparison studies such as the TIMSS (Trends in International Mathematics and Science Study) and PISA (Program for International Student Assessment). 的 新加坡数学 pedagogy was also one of the key reSearch models used to guide the development of the Common Core State Standards. 的 following diagram shows the philosophy of the teachings of 新加坡数学:

的 center of the program revolves around mathematical problem-solving. All skills, processes and concepts develop problem-solving attitude and understanding. 学生 grow as thinkers as well as mathematicians.

新加坡数学 teaches concepts using a concrete-to-pictorial-to-abstract learning progression, which anchors learning in real-world, 实践的经历. 的 goal is to develop deep understanding through visualization. Manipulatives are a constant in the classroom, and teachers use them to demonstrate the concepts being taught. Examples include number bonds, 10 frames, place chips and charts, and bar models.

A typical lesson begins with making connections to previously learned concepts, learning something new through instruction and exploration, guided practicing of many levels of problems sets, 最后, independent problem solving. 这 process can take two to three days, because the students are studying for mastery. A parent may see, or hear about, some of the following:

• Teaching of the lesson – Direct instruction and exploration of the concept.
• 指导实践 – 活动 and practice with support from the teacher. 学生 are gradually led from the pictorial to the abstract.
• 让十大正规网堵软件练习 – Simple to complex problems created to determine if students are ready to progress to independence. During this practice, teachers may address any reteaching necessary or establish enrichment groups.
• 工作簿 – Independent practice to create fluency and accuracy.
• Extra practice "homework" – Reinforces all the teachings of the lesson.

这 关注数学 范围和顺序 brochure clearly defines and organizes the sequence of topics for grades K-5. Based on developmentally appropriate lessons, the chart reveals the expectations of mastery. Some overarching initiatives are constant throughout the curriculum. Two that are apparent in the classroom are:

1. A focused and coherent curriculum. Fewer topics in each grade allow more time to teach to mastery. Each subsequent grade teaches a concept at a higher level.
2. Content organized by big ideas, such as place value. 的 properties of operations are taught using place value materials so that students understand why the algorithms work.

All grade levels begin with the concept of number sense, which includes everything from understanding what the number 5 means (in kindergarten) to determining the patterns of place values (grade 5). Counting, comparing and ordering are all part of number sense.

的 most important concept to understand in order to move into operations is the relationship between place values. Knowing that 1 ten equals 10 ones is essential to regrouping. 这 pattern of 10s is evident in all large number manipulations and throughout the decimal lessons:

10个1 = 1个10
10个十= 100
10 hundreds = 1 thousand
10 / 10 = 1
10 hundredths = 1 tenth

了解更多十大正规网堵软件 place value in 关注数学.

在 关注数学, the operations of addition, subtraction, multiplication and division are discussed. Each grade approaches an operation by discussing what is already known and understood. 的n a larger place value may be added, or regrouping may be introduced. Nonetheless, each child has an idea of the pictorial representations of the operations.

A distinguishing characteristic of math taught in Singapore, and of 关注数学, is the use of model drawing or "酒吧的建模," a systematic method of representing word problems and number relationships that is explicitly taught beginning in second grade.

In grades K-1, students draw pictures to represent a real-world problem. Discussion, predictions 最后 mathematics all evolve from one picture. Once students become accustomed to discussing problems, they begin using cubes to represent the actions described. By combining or separating cubes, children get a clear sense of addition and subtraction. 的y have taken a concrete item such as a cube and created a picture of bundling or unbundling – concrete to pictorial.

In grade 2, students transition from cubes to drawing a rectangular bar that represents the cubes. 的 use of the rectangular bars and the identification of the unknown quantity with a question mark help students visualize the problem and know what operations to perform. 的 wording becomes a little trickier, so student must pay attention to the placement of the question mark; students must always be aware of answering the proper question. In grade 3, multi-step problems using multiplication and division become all the rage! Fourth graders gain a deep understanding of "before and after" problems, which can include up to three or four steps. Finally, fifth graders tackle problems involving fractions.

了解更多十大正规网堵软件 关注数学 酒吧的建模.

Problem examples from each grade.

Various websites are available for 酒吧的建模 help. Although rather simple in nature, they help students to build the basic skills of 酒吧的建模.

思考块 - Can access via an app or PC.

数学的游乐场 - A variety of 酒吧的建模 as well as quick fact recall games.

数学的伙伴 - A program through Marshall Cavendish that can be purchased for use at home. 这 digital supplemental program adopts the same principles of the 新加坡数学 approach.