Research Proposal
Practical Application Activities in Mathematics: Can students’ understanding of mathematics concepts improve if the curriculum is integrated with the content area subjects?
By: Juan Bottia, Tiffany Rampey, Aaron O’Brien
National Louis University
ESR 505 - Graduate Research: Mixed Methods
Instructor: Dr. Erika Burton
October 12th, 2014
Purpose of Study
The goal of this investigation is to study the impact of using practical application methods to teach mathematics in a 3rd grade classroom. We want to investigate the impact it will have on students’ understanding and mastery of the Number and Operations in Base Ten domain of the CCSS (Common Core State Standards). Explicitly, we want to study the effects it will have on standards 3.NBT.A.1 (Use place value understanding to round whole numbers to the nearest 10 or 100) and 3.NBTA.3 (Multiply one-digit whole numbers by multiples of 10 in the range from ten to ninety {e.g., 9 × 80, 5 × 60} using strategies based on place value and properties of operations).
In order to achieve mastery in the Number and Operations
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In consequence, we have decided to focus this study on the Number and Operation of Base Ten domain in order to investigate the impact of using practical application activities in mathematics as oppose to teaching mathematical concepts in isolation. In schools like Orchard Place elementary, the district has purchased the Pearson enVision math program for teachers to teach the CCSS for mathematics. The lesson plans and exercises available in this program delineates a clinical or linear curriculum for teachers to follow. In this study we will also investigate the implications of using such curriculum, rather than one that uses circular knowledge of other subjects to develop a foundation of number
His parents could require him to work out five word problems, with a goal that he work out four out of five (80%) correctly before moving on to higher level problems. As his math and applied problem fluency increases, the problems could be harder and the number of problems per session can be increased (7, 8, 9, 10 word problems per sheet). The focus can still be on 80% of the problems correct even as the difficulty and quantity of problems increase. This is based on “Standard - CC.2.1.4.B.2 Using place value understanding and properties of operations to perform multi-digit arithmetic” and “Standard - CC.2.1.5.B.2 extending an understanding of operations with whole numbers to perform operations including
Today, I want to teach you another way or a shortcut (algorithm) to solve three-digit number subtraction problems. Guiding Question Description for Students of Expected
Problem Solving Essay Shamyra Thompson Liberty University Summary of Author’s Position In the article “Never Say Anything a Kid Can Say”, the author Steven C. Reinhart shares how there are so many different and creative ways that teachers can teach Math in their classrooms. Reinhart also discussed in his article how he decided not to just teach Math the traditional way but tried using different teaching methods. For example, he tried using the Student-Centered, Problem Based Approach to see how it could be implemented in the classroom while teaching Math to his students. Reinhart found that the approach worked very well for his students and learned that the students enjoyed
Student progress to be able to workout multiplication by wring them in equation, then have then draw a picture to represent their understanding. 5.NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm. students are full able to solve basic multiplication facts. they will use their prior knowledge to be able to solve two digits’ numbers between each other.
-Students will use what they know about about place value to interpret and compare two numbers. Students will then compare numbers by starting with the greatest place value. They will then examine the equality and inequality symbols used to write number sentences. -Students will evaluate the number of hundreds, tens, and ones and complete number sentences comparing two numbers with the same hundreds digits. -Students will evaluate the number of hundreds, tens, and ones and complete number sentences comparing two numbers.
Guided Practice PERFORMANCE TASK(S): The students are expected to learn the Commutative and Associative properties of addition and subtraction during this unit. This unit would be the beginning of the students being able to use both properties up to the number fact of 20. The teacher would model the expectations and the way the work is to be completed through various examples on the interactive whiteboard. Students would be introduced to the properties, be provided of their definitions, and then be walked through a step by step process of how equations are done using the properties.
“One thing is certain: The human brain has serious problems with calculations. Nothing in its evolution prepared it for the task of memorizing dozens of multiplication facts or for carrying out the multistep operations required for two-digit subtraction.” (Sousa, 2015, p. 35). It is amazing the things that our brain can do and how our brain adapt to perform these kind of calculations. As teachers, we need to take into account that our brain is not ready for calculations, but it can recognize patterns.
I wanted to write this unit for 9th grade because I love how 9th graders are still young and getting use to high school; therefore, I believe they will be more willing to get up and try new things. This unit includes the exploration of The Real Number System, specifically rational numbers, irrational numbers, and exponents and how they relate to the Real Number System. By exploring the exponents first, we see how various exponents effect each number. For example, 3^-2 makes the number 1/9, but 3^2 is just 9.
It also addresses procedural fluency in that students, with conceptual understanding, will “perform operations,” building on the arithmetic skills they already have with their procedural fluency of exponent laws. Students will use problem-solving skills when they must decipher context to find relevant information in order to perform operations in scientific notation. The lesson 1 learning objective, “given a very large or small number, scholars will be able to write an expression equal to it using a power of 10 and identify whether or not a number is written in scientific notation,” will address conceptual understanding and mathematical reasoning as students make a connection between powers of 10 and their prior knowledge of place value, understanding that the power of 10 has meaning. Students must then use mathematical reasoning to judge how large or small a power of 10 is.
The common core standards require students to learn how to solve problems in mathematics and English through complex ways. Catherine Snow, a graduate from Harvard of School of Education, argues, “if you’re never teaching them complex stuff… they never learn complex stuff” (Turner, 1). It is true that by learning things the hard way will increase the child’s critical thinking skills and ability to understand the subject’s content. However, Snow misses a point of the downside of the common core. Teaching students a complex way to solve a problem without the basic knowledge in the first place will make the child even more confused on how to solve the problem.
Ofsted’s 2012 report ‘Made to Measure’ states that even though manipulatives are being utilized in schools, they aren’t being used as effectively as they should be in order to support the teaching and learning of mathematical concepts. Black, J (2013) suggests this is because manipulatives are being applied to certain concepts of mathematics which teachers believe best aid in the understanding of a concept. Therefore, students may not be able to make sense of the manipulatives according to their own understanding of the relation between the manipulative and concept. Whilst both Black, J (2013) and Drews, D (2007) support the contention that student’s need to understand the connections between the practical apparatus and the concept, Drews,
Operations and Algebraic thinking (OA) to Expressions and Equations(EE) to Algebra. 2. Number of Operations in Base Ten (NBT) to Number System(NSS) to
This quote proves the interest the children having in learning about these things. Rarely do fourth graders happily discuss arithmetic to any extent. Miss Ferenczi is a positive influence by teaching them to be excited about learning through the stories she tells them.
Often enough teachers come into the education field not knowing that what they teach will affect the students in the future. This article is about how these thirteen rules are taught as ‘tricks’ to make math easier for the students in elementary school. What teachers do not remember is these the ‘tricks’ will soon confuse the students as they expand their knowledge. These ‘tricks’ confuse the students because they expire without the students knowing. Not only does the article informs about the rules that expire, but also the mathematical language that soon expire.
INTRODUCTION This chapter presents the background and describes the overview of this study which aims to analyze the influence of mathematical ability on subject performance of accounting students in De La Salle Lipa. Background of the Study Numbers dominate every aspect of business transactions, especially the accounting profession. Mathematics has a significant role in the business education and in the world of business. The discipline of accounting focuses on accurate numerical measurement where practitioners this field should be comfortable in dealing with mathematics.