Mathematics portfolio task book

Introduction to mathematical portfolio theory in this concise yet comprehensive guide to the mathematics of modern portfolio theory, the authors discuss meanvariance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk. See more ideas about math, teaching and teaching math. There is no pre determined number of student work samples in. Jun 30, 20 in this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss meanvariance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including var, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Mathematics education 2 and received a high distinction. Grade 12 calculus 9 gilbert plains collegiate grade 9 math gilbert plains collegiate grade 12 applied mathematics landmark collegiate grade 9 transitional mathematics landmark collegiate.

The math portfolio resource guide contains the mathematics portfolio planning guide, which is an optional tool that teachers can utilize to consider the time of year they might expect to collect student work artifacts, the type of artifact that would best allow students to demonstrate performance, and time span that might exist. In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss meanvariance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including var, coherence, market efficiency, rationality and the modelling of actuarial liabilities. They are both licensed under the creative commons byncsa license. Grade 12 read, check solutions and practise intelligently at za this textbook is available on your mobile everything maths. However, the downside is that the use of portfolio assessment will require many teachers to face the difficult task of changing their teaching style. Students develop an interest in mathematical tasks that they understand, see as. Vince introduces a leveragespace portfolio model, tweaks it for the drawdown probability, and delivers a superior model. As with the artists portfolio, the mathematics portfolio should include a collection of the students best mathematical work. In my portfolio you will find a vary of different items that i have learned throughout the year.

Challenge your students with creative mathematics lessons, printable worksheets, activities, quizzes, and more during math education month aprilor anytime of the year. It is the assessment tasks that bring the curriculum outcomes to life. Printed copies of the digital version of the book are allowed. Mathematics year 2 above satisfactory 2014 dition page 1 of 37 work sample portfolio summary work sample portfolio annotated work sample portfolios are provided to support implementation of the foundation year 10 australian curriculum. University of california, california mathematics project. Is it possible to use portfolio assessment in conjunction with current math teaching practices.

Mathematics year 2 satisfactory 2014 dition page 8 of 38 measurement. Introduction to mathematical portfolio theory by mark s. Mathematics written by volunteers version 1 caps mathematics this book is available on web, mobi and mxit. Mathematics this portfolio of student work shows comparison of the sizes of fractions by diagrams and calculation and their representation on a number line ws5. At the culmination of a school year, the artifacts created through the solving of such problems could constitute a demonstration of learning, either along side or in lieu of a comprehensive exam. This project is a collection of tasks to support implementation of the ccss. This book, published in 1973, is a classic in the mathematics education literature.

I have gone through alot of different problem solving ways for each individual assignment. Mathematics as an educational task mathematical association. An introduction to financial engineering combines financial motivation with mathematical style. This request is a familiar one for the mathematics student, and is just as familiar to. Another reason is that when we begin teaching, we often feel that we are just picking up a book and working problems. In the handbook of portfolio mathematics, vince outlines the essential elements found in his first three groundbreaking books. So ive been here for a while now and i noticed how you all work within your groups pretty well, but i want to challenge you to use each other as your. Teaching portfolio alexander paulin department of mathematics, kings college london contents x teaching philosophy x teaching strategy x teaching experience x representative course syllabi, including assignments, examinations.

Many of these tasks are drawn from existing sources. Mathematics as an educational task by hans freudenthal, published by d. The handbook of portfolio mathematics for the serious investor, trader, or money manager, this book takes a rewarding look into modern portfolio theory. Beta mathematics handbook, appendix b of guts book an intermediate course in probability, covering most standard probability distributions. However, if the student prefers a physical copy of the book, he or she may purchase it through the liberty university online bookstore, mbs direct. Your ib mathematics standard level in addition to all the material in your mathematics sl course book, weve included a full set of worked solutions here, to fully equip you to tackle the course and assessment. Part of the mathematics teacher education book series mten, volume 4.

For example, sean larson and colleagues have a method of teaching abstract algebra that is based on the idea of guided reinvention. This chapter examines mathematics teacher portfolios as a powerful tool to promote reflection among teachers. Mathematics grade 12 written by volunteers version 1 caps. As part of the ib mathematics hl course, a portfolio with two tasks, one regarding mathematical investigation and another regarding mathematical modelling, must be submitted. Vermont high school mathematics portfolio task book microform distributed by eric clearinghouse washington d. Vermont high school mathematics portfolio task book. The student choice is the primary determinant of entries in a portfolio. Some teachers, however, are confused by the many types of portfolios, their. Central bucks school district 20 welden drive doylestown, pa 18901 p.

The parts of the achievement standard targeted in the assessment task are highlighted. The book maps directly to ct8 syllabus objectives i vii with many problems and worked solutions. The tasks for grade 2 were developed by the silicon valley mathematics initiatives mathematics assessment collaborative mac. These are the tasks i worked on when i took the course. Mathematics for finance an introduction to financial. A scenario of a looking for a lost dog was described. Grade 12 read, check solutions and practise intelligently. The ongoing reform of mathematics instruction creates a need to refine student assessment practices. Creating, critiquing and assessing tasks for student learning. These techniques incorporated deep content knowledge and understanding in order to develop a range of effective teaching strategies for a variety of learning abilities. The portfolio assessment including openended questions can aid teachers in observing how students process mathematics information and also help differentiate the skill levels of individual students. During this unit i designed a unit programme on length for year 2. The student will be able to recognize mathematical improvement over the course of the. The student solves problems using the four operations ws2, ws11, ws12.

Get a job preparing your teaching statement and portfolio. Portfolio management formulas, the mathematics of money management, and the new money management. These tasks are gradelevel formative performance assessment tasks with accompanying scoring rubrics and discussion of student work samples. Information about the 6th grade prealgebra curriculum is found with the 6th grade mathematics curriculum. A portfolio is a purposeful collection of student work that tells the story of a students efforts, progress, or achievement. When learning mathematics, students are often asked to thoughtfully consider new concepts or information. Mathematics learning activity types1, 2 the purpose of presenting an activity types taxonomy for mathematics is to introduce the full range of student learning activities for teachers to consider when building lessons that strive to effectively integrate technology, pedagogy, and content. Tasks in primary mathematics teacher education pp 5165 cite as.

Great care must be used in proving the reliability, validity, and consistency of evaluating grades when using the portfolio assessment. Mathematics high school new example as of september 1, 2014 offsite example. Part 2 provides portfolio entry directions as well as cover sheets and forms you use to submit your portfolio entries. If you are preparing for or intend to prepare for the ct8 exam, this is a musthave text book. He even provides equations to maximize returns for a chosen level of risk. Many of freudenthals ideas are current today, especially those of dutch realistic mathematics education rme. I am currently studying mathematics and secondary at grand valley state university. Each portfolio is an example of evidence of student learning in relation to the achievement standard. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely option pricing based on the noarbitrage principle in.

This chapter examines mathematics teacher portfolios as a powerful tool to promote reflection. A solidify understanding task writing and graphing linear inequalities in two variables a. Students will then use visual learning tools using story jumper to create a digital story book on at least 3 different ways to use u. They are aligned to the common core state standards for mathematics. Teacher guides by giving a general structure to the portfolio. Each portfolio comprises a collection of students work drawn from a range of assessment tasks. Other materials that are allowed but certainly not necessary. A process portfolio guide book written for teachers. Teacher may meet with student regularly to reflect on student growth. This unit was designed to meet the needs of a range of students utilising the diagnostic assessment data provided. Portfolio instructions for candidates who began the certification process in 2014 and earlier.

Within the assignment i planned a sequence of lessons that incorporated a range of teaching strategies and techniques standard 2. Summary of task students had been using the language of position in their mathematics lessons. The tasks for grades 3 through high school were developed by the mathematics assessment resource service mars of the shell centre for mathematical education, university of nottingham, england. Students were given a picture of a house and various objects in its yard, including a tree, a garden bed, a cat, a car, a pot plant and a clothes line. Reidel publishing company in 1973 this tome, 680 pages plus introductory material, published in 1973, is a classic. Can a portfolio of a limited number of pieces accurately reflect student growth over time in mathematics. This project represents the understanding of the assignments that were assinged to me my senior year. By the end of year 2, students recognise increasing and decreasing number sequences involving 2s, 3s and 5s.

Student and teacher may be asked to explain why they selected each entry. And with a little bit of planning, creating one neednt be. It must include student participation in the selection of portfolio content, criteria for selection, criteria for judging merit, and evidence of student selfreflection. I have teacher assisted in a geometry and an ap calculus class at allendale high school as well as student taught in a 6th grade mathematics class at mill creek middle school. This document is concerned with developing an understanding of problem solving by providing tasks to help students with their problem solving strategies. A writing portfolio is the best way to professionally show off your skills and achievements, without sounding braggy or arrogant. Measuring in the plane and space unit developed by carrie klein. This form of assessment involves assembling a portfolio containing samples of.

This required resource has been provided in this course as an ebook. The teaching statement is often more difficult for a student to write. Part 1 provides general instructions for preparing, developing, and submitting your portfolio entries. Focus on various mathematical themes, such as geometry, algebra, probability and statistics, money, measurement, and more.

A variety of items can be included in a mathematical portfolio in order to achieve these goals. However, the downside is that the use of portfolio assessment will require many teachers to face the difficult task of changing. Formative tasks building to peer evaluation task identifying mistakes. Longer than my thumb year 2 mathematics achievement standard the parts of the achievement standard targeted in the assessment task are highlighted. Portfolio assessment in primary school mathematics. Eric clearinghouse for science mathematics and environmental education columbus oh. Math portfolios are a wonderful way for students to celebrate their learning. This is also a very useful book for research students who are interested in modern portfolio theory and asset pricing. The portfolio encourages teachers, through written reflective statements, to examine the teaching of mathematics indepth and allow others to examine the thinking behind the teaching documented in the portfolio.

Should a student receive a grade for portfolio, or would this double grading work. The student will be able to recognize mathematical improvement over the course of the school year. Teacher notes that provide an overview of the task, the common core state standards content and practices standards that the task requires. Elements of discrete mathematics middle years math methods senior years math methods i have taught the following courses while i was out student teaching. Portfolio problems n rich problems that serve as potential assessments worthy of a student to demonstrate proficiency in a group of standards. Part of the mathematics teacher education book series mten, volume 4 the portfolio encourages teachers, through written reflective statements, to examine the teaching of mathematics indepth and allow others to examine the thinking behind the teaching documented in the portfolio. The variety and breadth of the items which are available depends, of course, on the mathematical experiences the student has encountered and on the reasons for assembling the portfolio.