                          Math Tutor 2
                       Brian T. Luke, Ph.D.
      
                     Description of Activities
                     in the Registered Version

This file contains a description of all of the math activities that are
available in the Registered Version of Math Tutor 2.
     
     
(A) More Addition/Subtraction Problems (Level 1)
     In this activity, a group of numbers will be displayed, along with a
result.  The student will be asked to place either a '+' or a '-' between
the numbers (moving from left to right) such that the final number sentence
equals the requested result.  The student's "supervisor" is able to select
the number of numbers that will be displayed, with a minimum of 2 numbers
and a maximum of 4; the smallest allowed value of any number in the group;
the largest allowed value for any number in the group, with a maximum value
of 999; and the number of problems that will be given.  It should be noted
that in this activity none of the intermediate results, when read from left
to right, nor the final answer are allowed to be negative numbers.


(B) More Addition/Subtraction Problems (Level 2)
     In this activity, a group of numbers will be displayed, along with a
result.  The student will be asked to place either a '+' or a '-' between
the numbers (moving from left to right) such that the final number sentence
equals the requested result.  The student's "supervisor" is able to select
the number of numbers that will be displayed, with a minimum of 2 numbers
and a maximum of 5; the smallest allowed value of any number in the group;
the largest allowed value for any number in the group, with a maximum value
of 999; and the number of problems that will be given.  It should be noted
that in this activity it is possible for the intermediate results, when read 
from left to right, and the final answer to be negative numbers.


(C) Multiplication Tutor (0-12 Times Tables)
(D) More Multiplication Questions (0-12 Times Tables)
(E) Generate PostScript Multiplication Questions (0-12 Times Tables)
     These activities introduce the student to the concept of multiplication,
or the Times Tables.  The structure of these activities may simply be a
result of my educational background, but I feel that my strength in
mathematics can be directly related to my rote memorization of the Times
Tables, from 0 X 0 through 12 X 12, at a young age.  In activity (D), the
student's supervisor is asked to choose the Times Tables they want, with a
minimum value of 0 and a maximum value of 12, and the student is asked the
product of that number times 'N', where 'N' sequentially steps from 0 through
12.  In activity (E) the general form of the problems is 'A' X 'B', where
'A' is a randomly selected number between 0 and 12.  The student's
"supervisor" is able to select the minimum and maximum allowed values for
'B', though they too must lie between 0 and 12; and whether the problems
should be written horizontally or vertically.


(F) Multiplication Tutor (Level 2)
(G) More Multiplication Questions (Level 2)
(H) Generate PostScript Multiplication Questions (Level 2)
     These activities continue the concept of multiplication by examining
problems where a 2-digit number (10 through 99) is multiplied by a 1-digit
number.  These problems describe the concept of "carrying" a partial result
from the "ones" column to the "tens" column.  In activity (G) the supervisor
selects the maximum allowed values for the 2-digit and 1-digit numbers, and
the number of questions that will be asked.  In activity (H) the 2-digit
number randomly varies between 10 and 99, and the supervisor is able to
select the maximum allowed value for the 1-digit number.


(I) Multiplication Tutor (Level 3)
(J) More Multiplication Questions (Level 3)
(K) Generate PostScript Multiplication Questions (Level 3)
     These activities continue the concept of multiplication by examining
problems where a 2-digit number (10 through 99) is multiplied by a 2-digit
number.  These problems reinforce the concept of "carrying" a partial result
from the "ones" column to the "tens" column, and adding the result of two
partial multiplications.  In activity (J) the supervisor selects the maximum 
allowed values for each 2-digit number, and the number of questions that 
will be asked.  In activity (K) one of the 2-digit numbers randomly varies 
between 10 and 99, and the supervisor is able to select the minimum and 
maximum allowed value for the second 2-digit number.


(L) Division Tutor (Level 1)
(M) More Division Questions (Level 1)
(N) Generate PostScript Division Questions (Level 1)
     These activities introduce the student to the concept of division.
In all of the problems presented here, both the divisor and the result
(the quotient) are whole numbers between 1 and 9.  These activities
therefore reinforce the "Times Tables" studied in activities (C) through
(E).  In activity (M), the supervisor is able to select the maximum
possible value for the divisor and quotient (not to exceed 9), and the
number of problems to be asked.  In activity (N), the supervisor is also
able to select the maximum value of the divisor and quotient, and whether
the problems should be written horizontally (using the colon with a bar),
vertically (long division style), or as a mixture of the two.


(O) Division Tutor (Level 2)
(P) More Division Questions (Level 2)
(Q) Generate PostScript Division Questions (Level 2)
     These problems introduce the student to the concept of a remainder.
As in the preceeding group of activities, both the divisor and quotient
are numbers between 1 and 9, but instead of simply using the "Times Tables"
to obtain an answer, they need to determine a value of the quotient that
gets as close as possible to the dividend without going over, and the value
of the remainder.  Though the first example in activity (O) literally deals
the objects out into groups and finds out how many are left, the student is
immediately shown how to do the problem using long division so that the
remainder is obtained by a multiplication and a subtraction.  In activity
(P) the supervisor selects the maximum value of the divisor and the
quotient (up to a maximum value of 9), and the number of problems to be
asked.  In activity (Q), the page of questions (and corresponding page of
solutions), in PostScript format, randomly select each divisor and quotient,
and no input is requested from the supervisor.


(R) Division Tutor (Level 3)
(S) More Division Questions (Level 3)
(T) Generate PostScript Division Questions (Level 3)
     These activities take the student further into long division.  Here,
the divisor is again a number between 1 and 9, but the answer (the quotient)
is a number between 10 and 99.  This requires the student to determine the
quotients value in the "tens" column, do the multiplication and find the
difference, "drop" the dividends value in the "ones" column down, find the
quotient's value in the "ones" column and check for any remainder. 
Activities (R) and (S) use open boxes to guide the student through each
place where a number should be entered.  In activity (S) the supervisor
selects the maximum value of the divisor, the maximum value of the quotient,
and the number of questions to be asked.  In activity (T) these maximum
values are set at 9 and 99, respectively, and no input is requested from
the supervisor.


(U) Bar Chart Tutor
(V) More Bar Chart Questions
     These activities introduce the student to the concept of representing
data in Tables and Bar Charts.  The goal is to give the student a basic
understanding and to have them answer simple questions given either a Table
or a Bar Chart of results.  In activity (V) the supervisor chooses both
the number of Tables and Bar Charts that will be used, and the number of
questions that will be asked for each Table or Bar Chart.
