“Accessible Mathematics” by Steven Leinwand provides ten suggestions (instructional shifts) that raise student achievement. There are 10 chapters in this book and each provides a unique type of mathematical practice that increases students love towards math and I have tried some of them in my classes and planning to try in the future as well.
The first chapter begins with Mini-Math, a sixth grade level math problems. Since my 9th grade class has students with diverse mathematics level, I tried the same practice with the name “Number Talk” similar to ‘warm up’ in my class. That helped my students to recall their basic math that they have learned in the late elementary or early middle school levels. Even the high level students have difficulty
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I started to explain definition of the key vocabulary for the lesson and provide appropriate examples if possible after reading this chapter of the book. This helped my students do better while working on problems because the definition of the terminologies clarifies what the question is talking about. If the students are unaware of the definition or meaning of the mathematical terms used in the lesson, they won’t be able to do the problems. I realized that we must clarify the meaning of the critical terms before going deep into the lesson. This chapter was very useful for me.
Chapter 8 is related to the geometry and I have decided to use those questions “How big, How far, How much?” when I start teaching geometry next quarter. I think this will create an effective mathematics classroom.
Chapter 10 is also very interesting and I really liked it. I think we must put everything in context to show that mathematics is not an abstract but very relevant. It is possible to do that in most of the cases and we must do that since math is something very different field which has reality concept. I always try to give a real-world problem to my instead of throwing random numbers and letters which hardly make sense in real life. We can always create a real-world problem for each concept in our high school math class. This chapter is very useful for teaching the 21st century
Prepare an (approximately) 200 word summary of the textbook material you have read this week on Chapter 6. This summary should be entered in your learning journal this week.
1) One of the aspects I really enjoyed for this chapter is it is all about different ways writing can be used besides writing an essay paper in High school. I remember in high school how if I had to type a paper or write a paper how I hated it because you had to go through the process of writing and analyzing a paper and it always had to be 3 pages long. Chapter 2 is all about taking your students write more, which I thought would be a horrible idea, but have them write different things besides an essay paper.
2. The authors claim that this book is very different from a typical mathematics textbook. Would you agree or disagree, based on what you read in Chapter 1? Explain.
The study materials worked out for me. From the lesson is a basic overview and read the book for specific details.
Every day, mathematics is used in our lives. From playing sports or games to cooking, these activities require the use of mathematical concepts. For young children, mathematical learning opportunities are all around them. Knaus (2013) states that ‘Young children are naturally curious and eager to learn about their surroundings and the world they live in’ (pg.1). Children, young and old, and even adults, learn when they explore, play and investigate. By being actively involved, engaging in activities that are rich, meaningful, self-directed and offer problem solving opportunities, children given the chance to make connections with their world experiences (Yelland, Butler & Diezmann, 1999). As an educator of young children,
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.
Students will also verbally share with the class the different comparison problems they created which will allow students to use the vocabulary terms. The last learning experience, 4, will allow students to continue to build from experience 3 in practicing the vocabulary terms and math symbols. Students will say true math statements as well as create their own. There are several ways students will implement their vocabulary terms in meaningful ways.]
A section of the Chapter 8 that was meaningful to me were the sections describing group contingencies and the Good Behavior Game. My students can be very competitive. I feel the Good Behavior Game would be highly motivating to them. The safeguards listed were also very helpful to avoid resentment or the students blaming others. I have learned that if I use “language loopholes”, my students are more likely to buy into a variety of tasks, such as turning homework in or staying on task. Additionally, the variation of the “Hero Procedure” would also be beneficial to my classroom. It would give my students the opportunities to be successful in the eyes of their peers.
My favorite part in chapter 3 was how the author connected math to children's literature. I absolutely love this idea for a few reasons. First, connecting these two subjects shows students that math is everywhere and that it doesn't just belong in math class. Showing this connection to students will open their eyes on how different subjects intermix with each other. Second, as teachers, we would be meeting more standards than if we were to teach the two subject separate. And third, it just makes math more fun. I mean, who doesn't want to know how big Hagrid is compared to them? I know I do! Doing simple activities like that make the book actually come to life for the students. They can see how big or small a certain character would be in real
Books seven through nine involve number theory and geometrical progression. In the seventh book, Euclid wrote about the basic fundamentals in number theory. In addition, it explains prime numbers and divisibility. The eighth book continues number theory, and it also includes proportions and geometric sequences. Similarly to the seventh and eighth book, the ninth book continues number theory. It explains perfect numbers and sums of geometric sequences.
Part 5: Conclude: Why we should add this book to the curriculum and have a discussion on mental
Answer the “Questions for Discussion” using the book, your knowledge and ideas and class material.
These resources might explain topics, themes, and abstract ideas that are too hard to understand in the textbooks (Steele, 2007). To make students with learning problems more successful, the teacher can provide lesson about a particular book, discuss part of the textbook like glossary sections, appendixes, chapters heading, maps questions,
Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.
Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).