249 pages · 2023
Teaching Mathematics Using Interactive Mapping
By Sandra L. Arlinghaus · Joseph J. Kerski · William C. Arlinghaus
- Published
- December 11, 2023
- Imprint
- CRC Press
- Edition
- 1st Edition
- ISBN
- 9781003305613
Overview
About this book
Teaching Mathematics Using Interactive Mapping offers novel ways to learn basic math topics such as simple relational measures or measuring hierarchies through customized interactive mapping activities. These activities focus on interactive web-based Geographic Information System (GIS) and are relevant to today’s problems and challenges. Written in a guided, hands-on, understandable manner, all activities are designed to build practical and problem-solving skills that rest on mathematical principles and move students from thinking about maps as references that focus solely on "where is" something, to analytical tools, focusing primarily on the "whys of where." Success with this transition through interaction permits most readers to master mathematical concepts and GIS tools.
FEATURES
Offers custom-designed geographical activities to fit with specific mathematical topics Helps students become comfortable using mathematics in a variety of professions Provides an innovative, engaging, and practical set of activities to ease readers through typically difficult, often elementary, mathematical topics: fractions, the distributive law, and much more Uses web-based GIS maps, apps, and other tools and data that can be accessed on any device, anywhere, at any time, requiring no prior GIS background Written by experienced teachers and researchers with lifelong experience in teaching mathematics, geography, and spatial analysis Features an accompanying Solution Guide, available on the book's product page, that is beneficial for instructors, students, and other readers as an aid to gauging progress.
This textbook applies to undergraduate and graduate students in universities and community colleges including those in basic mathematics courses, as well as upper-level undergraduate and graduate students taking courses in geographic information systems, remote sensing, photogrammetry, geography, geodesy, information science, engineering, and geology. Professionals interested in learning techniques and technologies for collecting, analyzing, managing, processing, and visualizing geospatial datasets will also benefit from this book as they refresh their knowledge in mathematics.
Subjects
Environment and Sustainability, Geography, K-12 Resources, Mathematics & Statistics
Inside the book
Table of contents
Select a chapter to read its abstract.
Chapter 1Classifying Numbers and the Distributive Law
Pages: 18
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of this book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 1 is entitled “Classifying Numbers and the Distributive Law.” The mathematics tools and concepts in this chapter are as follows: the classification of numbers, the Law of Excluded Middle, operations with numbers, and operations with maps, order (mathematical operations, mapping operations, and layers and organization), the Distributive Law (terms and factors, parentheses and the Distributive Law). The major mapping activities designed to interact with the mathematics in this chapter include scale bars, legends, MapViewer, global populations, and United Nations Human Development Index.
Chapter 2Fractions and Decimals
Pages: 22
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 2 is entitled “Fractions and Decimals.” The mathematics tools and concepts in this chapter are as follows: fractions, exponents and logarithms, decimals, bases other than 10, time and circular measurement. The major mapping activities designed to interact with the mathematics in this chapter include: precision and rounding activity. Eiffel Tower, key graticule lines and France, and 3D view of key graticule lines.
Chapter 3Simple Relational Measures and Measures of Central Tendency and Variation
Pages: 29
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 3 is entitled “Simple Relational Measures and Measures of Central Tendency.” The mathematics tools and concepts in this chapter are as follows: simple relational measures (ratio, proportion, percent, etc.), math word/story problems, measures of central tendency, variation, goodness of fit and statistical significance, relational measures in sculpture. The major mapping activities designed to interact with the mathematics in this chapter include: Florida land cover, San Diego urban litter, San Diego donut map, UK poverty map, zebra mussels, global population (vector and raster visualization), Colorado, Lincoln NB crime analysis, Florida traffic accidents.
Chapter 4Earth Measurement
Pages: 33
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 4 is entitled “Earth Measurement: Coordinate Systems and Trigonometry.” The mathematics tools and concepts in this chapter are as follows: coordinate systems in common use, other coordinate systems, trigonometry (virtual review of functions and applications), and scale. The major mapping activities designed to interact with the mathematics in this chapter include Arc de Triomphe, Paris, France, Bismarck ND (scale), Kansas football stadium, Mars story map, craters on Mars, Mars 3D explorer.
Chapter 5Data, Variables, and Thematic Maps
Pages: 24
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 5 is entitled “Data, Variables, and Thematic Maps.”
Chapter 6Mathematics' Foundations
Pages: 23
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 6 is entitled “Mathematics’ Foundations: Set Theory and Algebra.” The mathematics tools and concepts in this chapter are as follows: existence and foundational mathematics, set theory, algebra. The major mapping activities designed to interact with the mathematics in this chapter include: Boulder hazards, powerlines in Kansas, Syria inequality, oblate spheroid.
Chapter 7Mathematics' Foundations
Pages: 20
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 7 is entitled “Mathematics’ Foundations: Dimension and Geometry.”
Chapter 8Proximity and Adjacency
Pages: 23
Teaching Mathematics Using Interactive Mapping is an innovative eBook in which readers work interactively with mapping activities, custom-designed for this book by Joseph Kerski, on the Esri server using ArcGIS Online, to understand and to master topics in mathematics which might have proven to be stumbling blocks to them in the past. Direct links, to that server, and to other sites of interest, are provided throughout this book; QR codes provided in a separate section at the end of the book provide a secondary route to major activities. Thus, mathematics tools and concepts work interactively with mapping activities. Chapter 8 is entitled “Proximity and Adjacency: Measurement.”
Chapter 9Measuring Hierarchies and Patterns
Pages: 15
The chapter refers to the use of anthropometric data to design the environment to meet children needs. The author draws an attention to the influence of such environment to young and not completely developed organisms. She highlights the negative results of wrongly designed products on their future health. Furthermore, in this chapter the characteristics of the somatic development of children and juveniles are provided. The need of making designers aware of the children physical development and general biological phenomena (the secular trend phenomenon, the acceleration process and the pubertal spurt of body growth) is widely presented. Finally, the application of the anthropometry to the design of school furniture is shown.