Charles, R. I. (2002). Math. Glenview, IL: Scott Foresman Addison Wesley. This book is a teacher edition and it discusses how you can teach math lessons. This book is volume 1 and it has 6 chapters those include: Numbers to 12 and Graphing, Addition and Subtraction Readiness, Addition and Subtraction Concepts, Facts and Strategies to 12, Geometry and Fractions, and More Fact Strategies. This books provides examples of how you can incorporate technology and assess students.
Contestable, J. W. (1995). Number power. a cooperative approach to mathematics and social development. Menlo Park, CA: Innovative Learning Publications, Addison-Wesley Pub. Co. This book has activities that focus on including math and social development together to
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Chicago, IL: Everyday Learning Corporation. This book is a teacher 's manual that correlates with the math workbook that is written above. It provides additional math lessons and describes how partner and small group cen benefit student learning. It also uses geometric shapes like that having students the draw a circle or square around certain objects.
Breyfogle, L., & Lynch, C. (2010). Van Hiele Revisited. Mathematics Teaching in the Middle
School, 16. doi:10.1075/ps.5.3.02chi.audio.2f
This article provides a description, example, and a teacher activity of all the 5 Van Hiele levels. The more experience children have with the levels the better they can develop and move on to the next level. Teacher need to monitor student progress so they can provide adequate instruction to move on.
Mason, M. (1992). The van Hiele Levels of Geometric Understanding. Professional
Handbook for Teachers. doi:10.1107/s0108768104025947/bm5015sup1.cif
This article discusses frequently asked questions about the Van Hiele levels which is great for teachers and parents. For example, it describes that students can’t skip levels because they have to understand the previous one in order to move on. Progress is determined by educational experiences rather than age. Geometry Content taught at grade level:
Iowa Core. (2008). Retrieved April 07, 2017, from https://iowacore.gov/ This shows all the Iowa Core standards and it states specifically what the
In order to improve my instructional practices, I analyzed instructional data from district math diagnostic and proficiency assessments. The most recent assessment assessed student’s abilities to count, add and subtract, and their understanding of place value. My students scored below not only the other first grade students at the school, but also all first grade students in the district. 81.6% of my students could count, read, and write numbers to 120. This was an improvement from their diagnostic assessment. However, only 66.7% could relate counting to addition and subtraction, and only 45% demonstrated understanding of place value in two digit numbers.
Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all
The aims and importance of learning provision for numeracy development are to ensure all students understand that maths is a vital part of everyday life and will continue to be used throughout their life. Primary schools will teach students to learn various methods and techniques to be able to reach the correct answer. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them. They can then develop their learning to improve their knowledge and apply it to real life situations; such as counting in groups of numbers such as 5’s or 10’s, which in turn can be applied when paying for
Numeracy development is important for all children as maths is an important part of everyday life. The way in which maths is taught has changed greatly over the years. When I was at school we were taught one method to reach one answer. Now, particularly in early primary phase, children are taught different methods to reach an answer, which includes different methods of working out and which also develops their investigation skills. For example, by the time children reach year six, the different methods they would have been taught for addition would be number lines,
Van de Walle, J, Karp, K. S. & Bay-Williams, J. M. (2015). Elementary and Middle School Mathematics Teaching Developmentally. (9th ed.). England: Pearson Education Limited.
In the article, “13 Rules That Expire,” by Karen S. Karp, Sarah B. Bush, and Barbara J. Dougherty, the three authors discuss thirteen of the most commonly used tricks, tips, and strategies that do not promote a full understanding of mathematics. Furthermore, this promotion of shortcuts and alternatives that are commonly steering children to misunderstandings as they grow and expand their knowledge in a higher level atmosphere. These strategies are that discussed in the article are taught in elementary and middle school levels. However, once these rules are taught and established they tend to expire around grade seven and up when children start learning complex multistep problems. The overall content of the article is accurate when
The math concepts taught in this lesson are teaching the students how to use certain math formulas, and practice addition and multiplication. It is beneficial for students to know what tools to use for capturing and displaying information that is important to them (Davis, 2011). The science concepts taught in this
The Mathematics section is based on a variety of topics but is very basic and ideally should have been taught by class 6. These constitute interpretation of charts and tables, prime and square numbers, area and perimeters and other categories which can be seen from the link posted below.
This requires teachers to provide complex and real application lessons. Financial literacy was added to mathematics and the need for real-world activities was a must. The book helped students understand how to add, subtract, multiply, and divide, but failed to show how it really works when shopping from a grocery ad or purchasing a home of which they had to understand property taxes. Students had to answer word problems about shopping for items at stores, but the textbook did not come with store ads.
Children at **** **** frequently engage in experiential activities where they are encouraged to explore indoor and outdoor environments and gain first-hand experience of recognising materials; making comparisons / recognising similarities and differences; estimating and predicting; counting; sequencing; weighing and measuring etc. Engaging in relevant discussions that provide an opportunity for the children to build their skills, increase their knowledge and extend their mathematical vocabulary is an essential part of the learning process.
Above: Above grade level students will be expected to complete 8-10 rounds of the three-digit addition problems during the provided activity time. The teacher will ask above grade level students key questions (What other strategy could you use to check your answer?) Above grade level students will be asked to complete two rounds of the activity adding three, three-digit numbers (roll the three dice three times). The students will be asked to draw or write one strategy they used to solve the three, three-digit addition problems. If students complete the activity early, they can be a “teacher’s helper” and provide ESOL and below grade level students with assistance that is closer the their zone of proximal development. (The student has to obtain a high level of understanding to be able to teach the material.)
This report will explore the similarities and differences between numeracy and mathematics, and address the importance of its development across the curriculum.
During the interview, teachers indicated that they skip standard one and two leaving them outside playing, while focusing on teaching standard three, four, and five. As frustrating that information, once again I called one of the teacher's at the school curious, asking how they could manage educating standard three children without the basic foundation of the other previous levels. As it goes on to be sad, the entire standard three class level have to stay in the same class for another entire academic year, she informed me. This means, they will repeat the same class, for the motive that they cannot read or
Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.
The lack of adopted curriculum also means that most, if not all, teachers are supplementing both materials and instructional routines. These students need to pass the state-mandated Smarter Balanced Assessment (SBA) which requires completion of a problem-solving performance task. Students need to know which operation(s) to use (addition, subtraction, multiplication, and/or division) and how to apply them appropriately. This problem has