Annotated Bibliography
The following three books, and two websites, were picked to assist students in the 7th or 8th grade. The books and websites will be used to ease the students’ transition into Algebra I, from simple algebraic thinking. Specifically, the books will be used as a resource in the first unit, which is introductory in nature and presents basic algebraic expressions and equations. As part of this, the websites will be used during the initial unit to assist student understanding and ensure mastery of the “underpinnings” of Algebra. In addition, the books and websites include real world applications and simple explanations that bring the concepts to life. In addition, they assist in making mathematics accessible to all students, no matter their ability level.
Further, the books and websites can be used throughout the Algebra I curriculum. Overall, the books and websites are suited for students with average ability in mathematics and the concepts are simple in nature. Additionally, the books and websites include practice problems that will foster the development of basic skills. Also, the books and websites present real world applications of basic algebraic concepts. Realistically, the use of real world applications is important in assisting students through the curriculum. At the same time, the applications should “peak” student interest in the content and ease student anxieties associated with mathematics. Given the building nature of mathematics, assisting students in mastering the “underpinnings” of Algebra is essential for their long term success.
1. Tradebook
Adler, D. A. (2011). Mystery Math: A First Book of Algebra. New York , NY : Holiday House.
ISBN-13: 9780823422890
Flesch – Kincaid Readability Estimate: 7.1
Amazon Link: Mystery Math: A First Book of Math
Mystery Math is a cleverly written book which introduces algebraic equations, and the vocabulary associated with them, in a very logical manner. Additionally, the book presents the concepts in a manner that is appealing to students at the middle school level. The story is based on the idea that algebra equations can assist us in solving math mysteries. As a part of this, the story is set in a haunted house and the author uses graphics of smiling monsters, skeletons, spiders, and bats to reflect how all algebraic equations must be balanced. Overall, the author drives home the point that these equations can be easily balanced by using the skills students already have, i.e. the ability to add, subtract, multiply, and divide. In reality, the author’s point is that Algebra is not scary since it is just an extension of basic mathematics.
This book is very easy to understand and could be used during any introductory algebra course. At the same time, the book could be used to assist students that continue to struggle, during the semester, with basic algebraic equations. Given the fact that the solving of algebraic equations is an on-going issue at all levels of Algebra, the use of the ideas presented in the book are endless. As part of this, I would read this book with students prior to a lesson on solving algebraic equations. Further, I would have students complete the activity, included in the book, which is beneficial and very interactive in nature. Overall, this book would also be made accessible to students as part of a class library. In reality, I would be very confident reminding students of the author’s way of thinking throughout the semester and having them re-read the book, independently, as necessary.
2. Tradebook
Rappaport, J. (2000). Algebra Survival Guide. Santa Fe , NM : Singing Turtle Press.
ISBN-13: 9780965911382
Flesch – Kincaid Readability Estimate: 7.4
Amazon Link: Algebra Survival Guide
The book Algebra Survival Guide is an essential tool for any student entering Algebra or struggling with the subject. As part of this, the book can be used at the middle or high school level and presents the subject in a manner that is easy to understand. For his part, the author breaks complex algebraic ideas into simple terms that make the concepts accessible to all students. In reality, the book summarizes the key concepts in Algebra I which are essential for long term math success. Further, the book is divided into units that match the curriculum of any Algebra class. As well, the author presents the vocabulary and key procedures in basic terms that students should be able to understand.
Overall, the Algebra Survival Guide has real value and the potential to assist students at any level. Personally, I would use the book as a resource that can assist with lesson planning. The book explains difficult concepts in terms that are easy to understand. In addition, the book includes questions that are essential in gauging mastery. Further, I would include the book in my class library and would feel comfortable referring students to the book to guarantee their understanding. As part of this, given the low price of the book, I would encourage students to purchase the book as it has real uses beyond introductory Algebra.
3. Tradebook
Rappaport, J. (2010). Algebra Survival Guide Workbook. Santa Fe , NM : Singing Turtle Press.
ISBN-13: 9780965911375
Flesch – Kincaid Readability Estimate: 8.7
Amazon Link: Algebra Survival Guide Workbook
The Algebra Survival Guide Workbook is a supplement for the Algebra Survival Guide, which is a valuable resource for any student attempting to master Algebra I. The workbook includes 50+ pages of problems which offer ample practice for key algebraic concepts. Additionally, the author was sure to limit problem sets to one specific concept to maximize student focus. Further, the problem sets are directly tied to the Algebra Survival Guide and each problem set includes the matching page number for easy review. Finally, another great feature of the workbook is the fact that all of the answers are included in the back of the book. In reality, when paired with the Algebra Survival Guide, the workbook provides a complete and thorough Algebra I curriculum for any student.
The workbook has a plethora of uses, and can be a resource for both students and the teacher. For students, I would use the workbook in conjunction with the textbook for focused practice on intricate Algebra concepts. This would be achieved by generating quizzes and worksheets that are based on one specific concept. This would provide a better gauge of student understanding, since mathematics is full of basic skills that need to be mastered prior to moving on. In many cases, one complex problem may require students to have a thorough understanding of several concepts. Far too often, textbooks and teachers concentrate on the complex problem and not the skills necessary to solve them. Given the nature of this workbook, essential skills can be mastered and reviewed one at a time. In the long run, these essential skills will allow students to successfully solve more complex problems.
4. Website: Illuminations: National Council of Teachers of Mathematics (NCTM)
The website http://illuminations.nctm.org/ was designed, by the NCTM, to provide standard based resources and materials. These standard based resources help improve the teaching and learning of mathematics for students ranging from Pre K to 12th grade. As part of this, the website is intended for teachers and students and the lessons, activities and games are tied to the Principles and Standards of the NCTM. The activities and lessons cover the common foundation of mathematics to be learned by all students including Number & Operations, Algebra, Geometry, Measurement, and Data Analysis & Probability.
The site contains a variety of resources including 107 activities that can be used in the classroom by teachers, or by students at home, to help bring math to life. As part of this, the activities are grade specific and include full instructions on how to complete them. Additionally, there is an exploration section in the activity that requires students to explore a real world example, tied to the activity, and answer questions related to their work. Overall, I would assign problems from these real world examples that would enhance student understanding of the concepts.
Overall, the site is user friendly and easy to navigate. As part of this, the page is neatly laid out, which makes navigating from section to section very simple. The spacing of the lettering and graphics on the page is good and visually appealing. Further, the text is written in a way which will not be difficult for the average reader. Finally, the page is very interactive in nature adding to the ease of use. As a teacher, I would be confident providing students with exercises from this site. It is a great resource, easy to use, and connected to the Common Core Standards. In reality, this site could be a valuable resource during the introductory phase of Algebra. Overall, the site is full of useful activities and exercises that help students understand why we use math and how it is essential in everyday life.
5. Website: Study Island : A leading provider of standard based assessments
The studyisland.com website is a great resource for any Math teacher, teaching from 2nd through 12th grade. Overall, the site is very interactive in nature and incredibly user friendly. In addition, not only is the site a great source for Math practice but also includes programs for English, Biology, Chemistry, Civics & Economics , US History & Geography, and World History. As part of this, the activities are lined up with the Maryland Voluntary State Curriculum and Core Learning Goals. Further, as expected, the activities strengthen skills that are necessary to improve MSA and HSA test scores.
A further review of the site reflects its usefulness in the classroom. Each section of the site includes a pre-test and a post-test. As part of this the sections include questions, answers, explanations and lessons that address specific skills that are necessary to master the subject matter, which matches the Maryland VSC and Core Learning Goals. Further, the website provides immediate feedback to the user and the teacher. This allows for greater differentiation in the classroom and ultimately improves student understanding. During the introductory phase of Algebra I students would be required to complete a pre-assessment to gauge their skill level. Further, the students could be continually assessed throughout the curriculum to ensure mastery of the content. As part of this, throughout the curriculum, adjustments can be made as necessary based on the results of assessments.
Overall, the site is incredibly user friendly, on grade level reading wise, and easy to navigate. As part of this, the page is neatly laid out, which makes navigating from section to section very simple. The spacing of the lettering and graphics on the page is good and visually appealing. Additionally, the page is very interactive in nature adding to the ease of use. As an added benefit, students are provided with a simple log in and password, which will allow me to assign specific problems to them. This provides a greater level of differentiation, which adds to my comfort level with this website. Obviously, given these features, the page is a great resource due to the fact that it is easy to use and connected to the Common Core Standards.
Realistically, I could use the website during the initial unit, and throughout the curriculum, in several ways. First, since the website is accessible anywhere, students could be assigned homework on the website. As part of this, since the site is interactive in nature, students will be provided with a different mode of instruction instead of the standard text. Additionally, I could use the site, in the classroom, to give the students a break from standard instruction. From time to time, the students could be assigned time in the computer lab to complete problems. In my opinion, this type of instruction could be very beneficial to students as long as I provide clear objectives of what is required of them from the beginning.
Mystery Math Readability Estimate
If you’ve ever been on a seesaw, you know something about equations. You know something about algebra. A seesaw is like an equation. A see saw must be balanced.
Subtraction can help you solve word problems and algebra equations. Igor is the caretaker of the haunted house. He told Mandy and Billy, “There were bats flying around in here before I started my lunch.”
You already know how to add, subtract, multiply, and divide. Now you know how that helps you with algebra. Solving mysteries is fun. Algebra helps you solve math mysteries.
Flesh-Kincaid Readability Estimate : 7.1
Math Survival Guide Readability Estimate
What is Algebra?
Algebra is a branch of math that performs a magic trick. It takes something that is unknown and poof, turns it into something known. Algebra has done this by using letters to stand for mystery numbers. Algebra also gives you a process to let you discover the value of variables.
A monomial is a mathematical term with two parts. First, the coefficient is made up of the number in front, along with its sign. Also, a monomial has a variable or string of variables, each of which is raised to an exponent.
The trick lies in the set up. First, you need to know how to express people’s ages in relation to one another. Then you need to know how to change timeframes. Let’s look at each skill individually.
Flesh-Kincaid Reading Level : 7.4
Math Survival Guide Workbook Readability Estimate
Which properties, if any, are shown by these statements? To which set of numbers, if any, do the following belong? Simplify using the same-sign rule.
When solving equations, you often encounter the same or mixed sign rule in vertical format.
Simplify these terms using the complex radical quotient rule. Simplify these terms by rationalizing the denominators. List the primary factors of these monomials.
Solve for the variable in these word problems. Solve these percent word problems. Solve these percent increase problems. Solve these consecutive integer problems. Solve these age problems. Solve for the third quantity.
Flesh – Kincaid Readability Estimate : 8.7