We present a Single Variable Calculus course that has been delivered purely online for the past three years at the University of Helsinki and partially online at Florida State University. We discuss its methodological and pedagogical design as a case study.

We present how to set up VLEs to accommodate mathematics learning. We concentrate on the popular open source Moodle platform and introduce input filters to conveniently write and display mathematical formulas. Moreover, we present techniques for doing interactive math questions in Moodle.

Workshop that concentrates on using automatic assessment in mathematics education in various school levels. We introduce the type of content that has been used in high schools, technical engineering schools and universities and different methodologies that are suitable in these environments. We provide teacher guide lines and case studies. We also discuss the new possibilities given by using the automatically graded exercises in mobile phones as quick "clicker" type tests in middle of lectures.

Introduction

We present learning tools and materials for mathematics education developed in the WebALT and JEM projects. Our approach addresses the problem of motivating students to learn and support individual learning styles, online education. Also the tools aid teachers work load since the system keeps track of students’ progress.

We present a learning object repository recently developed for the JEM community. It enables users to register learning objects together with its metadata. For metadata we use the Learning Object Metadata (LOM) standard specified by IEEE. Among other things it enables classifying content according to its topic. For classification we use LivingTaxonomy which is developed by mathematics education community.

Web-based automatically graded exercises are presented and their various uses in education. For example for formative testing, practicing and gradebook. Also feedback from students that used the system is discussed. Finally a couple of case studies about results and benefits of using the system are presented.

The presentation is in Finnish.

We present a repository that was developed in the WebALT project to store digital learning materials. The repository supports LOM metadata and classification developed by the LivingTaxonomy project.

We present experiences of using on-line interactive exercises in mathematics learning. These exercises are automatically graded and so give immediate feedback to the learner. Also hints and fully worked-out solution is provided with most of the exercises. The problems are delivered through the Maple T.A. system which is a Maple powered automatic assessment system.

Technologies for classifying mathematical digital educational materials are often based on the adoption of metadata formats facilitating machine processing and management of information. A specific standard, called Learning Object Metadata (LOM), was developed to describe e-content in education and to accommodate the requirements of archiving, searching and retrieving learning materials. Metadata itself does not specify how to classify content and many taxonomies and vocabularies have evolved over the years.

We present the virtual single variable calculus course by Mika Seppälä from University of Helsinki. The couse is implemented synchronously online except for exams. The learning material is based on WebALT technology consisting of a ten minute talk, solved examples, open probles, laboratories and interactive online exercises.

The course utilizes the pedagogical "ARCS" model of professor John Keller which focuses on:

1. Attention
2. Relevance
3. Confidence
4. Satisfaction