Showing posts with label Maths. Show all posts
Showing posts with label Maths. Show all posts

Thursday, June 18, 2015

Snippets of a Week Of Ambleside Online Year 8 with a 15 Year old

*  History readings as per Ambleside Online schedule. Benj plans his own readings from the weekly list. With Churchill's books, he has always preferred to read a whole chapter per week rather than how it is scheduled (the chapters are divided as they are fairly long) so he has just finished the book this week.

*  Shakespeare's Macbeth - we've just started this play using the Arkangel BBC recording.

http://www.bookdepository.com/Macbeth-William-Shakespeare/9781932219203/?a_aid=journey56


*  We're not doing a Plutarch Life this term as our days are full enough at present. I'm happy if we do at least two Shakespeare and two lives per year but sometimes we do more.

*  The Holy War by John Bunyan - each week Benj adds to his poetic saga narration.

*  Francis Bacon Essays - a re-writing of the essay Of Studies.
There were a few Latin phrases such as, Abeunt studia in mores and cymini sectores, which we were unsure of until we found this site which helps explain them.


Maths - continues with Saxon Algebra II which he's almost finished. We were talking this week about what he'd like to study at University so we can plan towards that. We've used the SAT and units from Open University as a means of providing 'formal' documentation for university entry and as he has a mathematical bent, we'll probably get him to do some subjects related to that starting either this year or the beginning of next.

He watched this video this week:





Science

Understanding Physics by Isaac Asimov - Volume 1: Motion, Sound & Heat.
Science Notebook & experiments
Apologia Exploring Creation With Biology - selected modules only

Combining two loves, mathematics & soccer:




Art & Poetry



 La Belle Dame Sans Merci by John William Waterhouse (1893)

 The painting above is based on John Keats' 1819 poem of the same name.

I really liked the sound of this book when I saw it on Janice Campbells's Excellence in Literature site and thought it would be good for me to work through myself as a devotional. So I am, but Benj is also now using it to read through the poems of George Herbert, which are unique & beautiful. Working it Out: Growing Spiritually with the Poetry of George Herbert by Joseph L. Womack.

http://www.bookdepository.com/Working-It-Out-Joseph-Womack/9781613220344/?a_aid=journey56

There is a sample of the book here.
At the beginning of the book is a short section in which Janice Campbell gives suggestions on using the book in the writing process.


Linking to Weekly Wrap-up

Monday, June 10, 2013

Living Books for Maths


 Living - producing action, animation and vigor; quickening; flowing, opposed to stagnant.



Anno’s Counting Book is a wordless picture book that is full of beautifully drawn images. The book appears very simple, but in fact it contains a sophisticated introduction to ideas about counting, incorporating varied ways of representing number. The idea behind this book is to introduce counting to young children in an appealing and natural way. Each double-spread page uses an array of blocks on the left side, a picture in the middle and the numeral on the right side. As the reader progresses through the numbers, they also move through the months of the year. In February for example, the reader can count 2 buildings, 2 trucks, 2 fir trees, 2 rabbits, etc within the picture itself. The numeral 2 is also given, as well as a pictorial representation of two blocks. These two aspects help introduce children to common methods of representing number in the beginning years of school.

(Thanks to my daughter Zana who came across this book while doing research for a mathematics' scholarship and wrote this for me.)







String, Straight Edge, & Shadow: The Story of Geometry by Julia E. Diggins; Illustrated by Corydon Bell




Originally published in 1965 and reprinted in 2003, this book tells the story of Geometry from ancient times up to the time of the writing of Euclid's Elements, using archaeological and historical records and legendary accounts of famous mathematicians of the past.
In ancient times the lines and forms of nature were observed and copied and eventually incorporated into a practical art later known as geometry (from geo, 'earth,' and metria, 'measurement').
Three tools, which are still in use today - the string, straight edge and shadow - were the foundation of this practical art upon which the concepts of theoretical geometry were gradually built.
Well written and full of graphic illustrations, this book gives a thorough, accessible and understandable introduction to geometry, its use and development throughout history and is a wonderful living book for students learning geometry for the first time as well as an interesting book generally.


A Piece of the Mountain: The Story of Blaise Pascal by Joyce MacPherson




Joyce MacPherson has written several biographies of famous men in history who not only earned a reputation in their varied fields of science, art and Mathematics, but were prominent apologists for the Christian faith.
Her writing style is appealing and crisp and her books are written for around a 5th to 6th grade reading level and work very nicely as family read alouds as she includes details of the childhoods and early influences of each of the men.

This story of Blaise Pascal (1623-1662) is a wonderful introduction to an important mathematician who lived through the turbulent times of the 1600's when King Charles I lost his head, Descartes was writing on philosophy and Tasman was exploring downunder. Pascal was educated at home and his father encouraged his early interest in mathematics.

'Every morning Blaise's father spent time with his children's lessons. But what lessons! They were different from the meaningless repetitions of facts founding the schoolbooks. Blaise's father wanted to teach his children to think. His own experience had taught him that schools often attempted to fill a pupil's heads full of facts instead of allowing the pupil to find the truth for himself. Thus, Blaise's father had decided to leave his successful job....and devote himself to science and the instruction of his children.'


Pascal laid the groundwork for Analytic Geometry; he made the first digital calculator, developed a theory of mathematical probability and wrote an enduring defence of the Christian faith which has been read for over three hundred years.
Today his name is used for a programming language, Pascal, and his work on probability was a precursor for development in areas such as genetics, statistics and analysis.