Once the teacher feels comfortable using the lessons in this book, it will be easy to start developing his/her own demonstrations, investigations, and activities. If your school does not own the Extended School Site Licence, look into the possibility of acquiring it, as it allows students to investigate topics that were unclear to them in class as well as not requiring that they be at school to complete these assignments.īecause these lessons are designed for even the most hesitant teacher, this innovative text will guarantee success in the Algebra classroom. All students need their own copy of Autograph in order to complete the investigations either at school or at home. They are investigative and use the power of Autograph to dynamically change variables or parameters. The Student Investigations were designed to follow a Teacher Demonstration.
This way, the teacher can involve the entire class and monitor class activity. Although each teacher has his/her own teaching style, I suggest that students perform the Autograph steps by hand, while the teacher walks around the classroom giving instructions and leading the discussion. Many Demonstrations have explicit questions in the text, but the experienced teacher will find multiple opportunities to add their own questions. Encourage students to discuss what is meant by a certain value or the effect a certain value has on the shape of the graph. During each demonstration, teachers should involve the class by asking students to predict what happens if you change the value of a constant, or alter the equation. The demonstrations were designed with the intention that they be used with an Interactive Whiteboard or with a digital projector. The Teacher Demonstrations are designed to be interactive and used in the classroom to dynamically introduce or illustrate important concepts in algebra. The topics include many that are found in a typical second year algebra course. This book should not be used to replace a textbook: it is a book of demonstrations and investigations that supplement a good textbook. The Teacher Demonstrations illustrate topics and turn the classroom into a dynamic learning centre while the Student Investigations heighten a student's understanding and increase their level of competency.
AUTOGRAPH MATHS SOFTWARE PDF
Electronic PDF book with free Autograph files for personal use (School Licence available separately). This electronic book (PDF) demonstrates ways that Autograph, dynamic graphing software, is effectively utilized as a tool for interactive teacher demonstrations and independent student investigations. Students will critically analyse temperatures since the mid 19th century to investigate global warming and the effect of wars on life expectancy.> Dynamic Algebra with Autograph - Personal Useĭynamic Algebra with Autograph - Personal Use Dynamic Algebra with Autograph - Personal Use Dynamic Algebra with Autograph - Personal Use This activity explores time-series data and shows how calculating and plotting moving averages can help to iron out fluctuations and spot trends. Without technology, students then have to predict these key points for different functions. Students record the key, defining points in a pre-prepared table: coordinates of the maximum and minimum and x-intercepts, as they change different parameters using the constant controller or sliders.
Age: 15+ Time: 1hĪge: 15+ Time 1-2 hrs Using Autograph or the free Geogebra or Microsoft Maths 4.0, students investigate the functions of the sine and cosine graph. This challenge provides a great incentive to explore, experiment and share ideas. However, the questions are disguised in videos of moving graphs that students are asked to reproduce. y=f(x-a), y=f(ax) for the quadratic function. The aim is to explore the basic transformations of a function, e.g. This immediately absorbing and engaging activity requires students to use graphing software.
Geogebra: Modelling Animations Discovery.Engaging Starters, inspiration, inquiry.Homework:effective Feedback + Real Applications.'Hands-On' no screen tasks + Covid data?.
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