• Mathematics,  Premium

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 2)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how you can show your students to program a computer to graph trigonometric functions. We use the Python programming language as an example.    If you need to see Part 1 of this article, you can access it here. Showing your students how to graph trigonometric functions, using different techniques, can be fun. Besides using softwares, you can show your students how to program a computer to graph trigonometric functions. Programming a computer to graph trigonometric functions Again, we think…

  • Mathematics,  Premium

    On Teaching Trigonometry: Graphing Trigonometric Functions (Part 1)

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.   SUMMARY:  We talk about how to introduce your students to graphing trigonometric functions.    After you’ve explained to your students that the sine and cosine are functions from the real numbers to the real numbers, you may need to mention that the tangent, cotangent, secant, and cosecant are also functions of a real variable but that are undefined for some real numbers. Explain to them the reason for the undefinedness: these last four functions are defined as ratios, where their denominators are variables, which cannot…

  • Mathematics,  Premium

    On Teaching Trigonometry: Trigonometric Functions and the Unit Circle

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how to introduce your students to the general notion of a trigonometric function defined for any angle, acute or not, and we talk about how to use the unit circle to define trigonometric functions.   After you’ve spent some time practicing with your students and give them some time to work on exercises on their own, you may need to move on to other topics. Now that you’re done working with evaluating trigonometric functions on an acute angle, it’s probably…

  • Basic,  Mathematics,  Premium

    On Teaching Trigonometry: Angles and the Right Triangle

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     SUMMARY: We talk about how to start introducing your students to the trigonometry of the right triangle and to remind them of the importance of practice.   By now, many of your students may be all excited about trigonometry. You’ve managed to persuade them that it is worth to put the efforts to comprehend the technicalities that you will explain to them. But you will also need to remind them of the importance of prerequisite knowledge. To effectively communicate the technicalities to your students,…

  • Basic,  Mathematics,  Premium

    On Teaching Trigonometry: Introduction

    Note: Thoughts expressed in this article are solely those of the author(s). Any advice given in this article may not work in all situations.     This is the first in a series of articles about ways that one could teach trigonometry: On Teaching Trigonometry: Angles and the Right Triangle On Teaching Trigonometry: Trigonometric Functions and the Unit Circle On Teaching Trigonometry: Graphing Trigonometric Functions (Part 1) On Teaching Trigonometry: Graphing Trigonometric Functions (Part 2)   We will not assume a specific setting in which the teaching will take place. So what we will say may be applicable to classroom settings or other settings. Also, we will not necessarily assume…

  • Technology

    Technologies for Teaching Mathematics

    If you are a teacher or tutor and sometimes find it difficult to help your students or tutees understand some mathematical concepts, there are some fascinating technological tools designed to alleviate your challenges. GeoGebra AR GeoGebra is a website that has apps that can be used as scientific and graphic calculators and can be used to do other computations, such as solving polynomial equations. Recently, GeoGebra has incorporated augmented reality in some of its apps. So students can have a live demonstration of some fascinating math topics right through their phones. Sometimes, students can find it difficult to graph functions of two variables because they can find it hard to…

  • Technology

    Technologies for Teaching

      For related products, scroll to the end. ↓↓↓     You’re likely on the hunt for new technologies to use in the classroom that’ll take your student’s education to the next level. New tech in education is released all the time. And with a busy teaching schedule, it’s often hard to find the time to research what’s worth yours and your students’ time. To help you bring some of the great new education technology released in the past few years, we’ve done the research for you. What follows are three of the top new releases making waves in education. Google Tour Creator You may already be using Google’s amazing…