form for CASIO Workshops
CASIO ALGEBRA FX 2.0 PLUS – A New Way of Looking at Mathematics! ”
Jose Carlos Coelho Balsa, Ana Margarida de Sa Machado Simoes Dias
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The new model ALGEBRA FX 2.0 PLUS offers us a further step in the sophistication of graphing calculators:
In addition to the functions of the ALGEBRA FX 2.0, the main capabilities added to the ALGEBRA FX 2.0 PLUS are the following:
1) The ALGEBRA FX 2.0 PLUS is equipped with FLASH memory. Therefore, it is possible to add applications that meet various requirements.
2) With the new TUTOR APPLICATION, students can study how to solve algebra problems as ALGEBRA FX 2.0 PLUS shows each step to arrive at the final solution, in a similar way as a teacher does it in class.
This application helps students manipulate equations.
3) Using the Computer Algebra System (CAS), students can factor expressions, find limits of functions and calculate derivatives, integration and Taylor series expressions. List, Matrix, and Vector functions have been added to the CAS operation.
Our talk will show some of the main characteristics of this new graphing calculator, as well as the main differences with previous models.
Innovative Teaching Methods with technology:
Practical purposes in teaching of Mathematics of future high school teachers
Abel Jose Torres Pereira de Eca, Ana Margarida de Sa Machado Simoes Dias
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Given the fact that the student is an agent of his own learning process, a teaching/learning methodology is proposed in which:
• The concepts are built upon each one’s experience and concrete situations;
• The concepts are dealt with through different points of view and with increasing level of strictness and formalization;
• a stronger connection between mathematics and real life, technology and matters of other subjects is established;
Experimental problems and situations are the starting point so that the student gradually grasps the formalization of the concepts through intuition.
The use of the graphic calculator, which is not only a tool but also a source of activity, investigation and learning, should be compulsory in order to prepare the students for a society in which Informatics play a highly relevant role in the resolution of scientific issues.
The role of the teacher in the becoming concrete of this methodology is to be both a regulator and an invigorator of the teaching/learning process. In this presentation, we will tackle the logistic function as a means to interpret real life situations, namely the increase of a population. We will also deal with an investigation in the field of Physics analysing the light intensity of a lamplight.
Series and sequences - investigations with a graphing calculator‘
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Modern graphing calculators have several functions that will enable us to experiment with series and sequences. An investigative approach will be used to work with sequences and series to determine convergence and other properties: e.g. can we guess a limit of a sequence? We will look at sequences defined by traditional expressions as well as by recursion. Properties of the Fibonacci and related sequences will also be investigated with the graphing calculator.
“A picture is worth a thousand explanations”:
Teaching math effectively using a graphic calculator
Technology is changing the way we teach and the way our students learn. This workshop will focus on designing, implementing and evaluating projects that encourage students to connect the mathematics they study to other disciplines and to the “real world”. Example projects from algebra and trigonometry, which utilize graphic calculators, will be presented. Participants will develop projects that they can use immediately in their classrooms.
We will explore the use of CASIO’s CFX-9850 GB PLUS to enhance students’ understanding in mathematics. A potpourri of many high school problems will be demonstrated, as time allows, choosing examples from a variety of subject areas and grade levels. Intriguing problems that can be studied at a variety of levels using a plethora of concepts will be of particular focus.
Learning mathematics with a graphics calculator
A graphics calculator provides fresh learning opportunities for mathematics students and their teachers, since it is potentially more accessible than other forms of technology. In this hands-on workshop, participants will use a Casio cfx-9850GB PLUS calculator to explore some examples of these learning opportunities. Examples will be chosen from mathematics commonly taught in the early undergraduate years, addressing concepts in elementary calculus (derivatives, integrals, limits, asymptotic behaviour) and in introductory statistics (simulation, sampling distributions, hypothesis testing, confidence intervals). Participants with no previous experience of using this calculator are welcome to attend.
Using new technology in lessons for physics
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- Short presentation of CASIO’s EA-100 / EA-200 (data analysers)
-Demonstrate how to create a program with graphic calc. CFX-9850 for EA-100
- Use the program, example: induction in a coil
- Transferring data between EA-100 and calculator
-Demonstrate how to create a program with E-CON on graphic calc.‚ Algebra FX-2.0‘
- Use the program, example: light frequency in a bulb
- Curve approximation
- New functions on EA-200 (e.g. sound measurements)
- Use of FA-123 communication program Calculator-PC
- Q & A