Hi can you please help me to understand this questions with answers please . thi
ID: 2871673 • Letter: H
Question
Hi can you please help me to understand this questions with answers please . this is my first time i ask question thank you .
Rate of Memorization Model
Human learning is , to say the least, an extremely complicated process. The biology and chemistry of learning is far from understood. While simple models of learning cannot hope to encompass this complexity, they can illuminate limited aspects of the learning hope to encompass this complexity, they can illuminate limited aspects of the learning process. In this lab we study a simple model of the process of memorization of lists (lists of nonsense syllables or entries from tables of integrals).
The model is based on the assumption that the rate of learning is proportional to the amount left to learned. We let [L(t)] be the fraction of the list already committed to memory at time [t] . so [L=0] corresponds to knowing none of the list, and [L = 1] corresponds to knowing the entire list. The differential equations is [dL/dt =k(1-L)] differenet people take amounts of time to memorize a list. According to the model this means that each person has his or her own personal value of [k] value as follows steps:
1.. Four lists of three-digit numbers are given in table A, and additional lists can be generated by a random number generator on a computer. Collect the data necessary to determine your personal [k] value as follows:
(a) spend one minute studying one of the lists of numbers in table A ( Measure the time carefully. A friends can help .)
(B). Quiz yourself on how many of the numbers you have memorized by writing down as many of the number as you remembers as you remember in their correct order. ( You may skip over numbers as you remembers you do not remember and obtial " credit" for numbers you remember later in the list.) Put your quiz aside to be graded later.
(C) spend another minute studying the same list
(D) quiz yourdelf again
Repeat the process ten times ( or untl you have learned the entire list). Grade your quizzes ( a correct answer is having a correct number in its correct position in the list). Compile your data in graph with [t] , the amount of time spent studying, on the list). Compile your datain a graph with [t] , the amount of time spent studying, on the horizontal azis, and [L] , the fraction of the list learned, on the vertical axis.
2. Use this data to apporximate your personal [k] value and compare your data with the predications of the model. You many use numeric or analytic methods, but be sure to carefully explain your work. Estiamte how long it would take you to learn a list of 50 and 100 three-digit numbers.
3. Repeat the process in part 1 on two of the other lists and compute your [k] value on these lists. Is your personal [k] value on these lists. Is your personal [k] value really constant, or does it improve with parctice? if [k] does improve with practice, how would you modify the model to include this?
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list 1 list 2 list 3 list 4 1 457 167 733 240 2 938 603 297 897 3 363 980 184 95 4 246 326 784 105 5 219 189 277 679 6 538 846 274 011 7 790 040 516 020 8 895 891 051 013 9 073 519 925 144 10 951 306 102 209 11 777 424 826 419 12 300 559 937 19113
048 911 182 551 14 918 439 951 282 15 524 140 643 587 16 203 15 434 609 17 719 847 921 391 18 518 245 820 364 19 130 752 017 73 20 874 552 389 735Explanation / Answer
THIS IS ONE PROBLEM WHICH YOU HAVE TO DO YOUR SELF .....HOWEVER , I SHALL GIVE YOU THE GUIDE LINES FOR THE PURPOSE ..SEE MY REMARKS IN CAPITALS ...
Hi can you please help me to understand this questions with answers please . this is my first time i ask question thank you .............OK
Rate of Memorization Model
Human learning is , to say the least, an extremely complicated process. The biology and chemistry of learning is far from understood. While simple models of learning cannot hope to encompass this complexity, they can illuminate limited aspects of the learning hope to encompass this complexity, they can illuminate limited aspects of the learning process. In this lab we study a simple model of the process of memorization of lists (lists of nonsense syllables or entries from tables of integrals)...................OK..
The model is based on the assumption that the rate of learning is proportional to the amount left to learned. We let [L(t)] be the fraction of the list already committed to memory at time [t] . so [L=0] corresponds to knowing none of the list, and [L = 1] corresponds to knowing the entire list. The differential equations is [dL/dt =k(1-L)] differenet people take amounts of time to memorize a list. According to the model this means that each person has his or her own personal value of [k] value as follows steps:.FOR THE PROBLEM SAKE LET US ACCEPT THE MODEL AS GIVEN ..
THE SOLUTION FOR THIS MODEL IS ....L = 1 - [E^(-K*T ) ] .....................................................1
TAKING THAT AT T=0 , L= 0 ..SO LET US TRY TO USE THIS IN THE OTHER PARTS OF THE PROBLEM ..
1.. Four lists of three-digit numbers are given in table A, and additional lists can be generated by a random number generator on a computer. Collect the data necessary to determine your personal [k] value as follows:
(a) spend one minute studying one of the lists of numbers in table A ( Measure the time carefully. A friends can help .)...YOU HAVE TO DO IT YOUR SELF ..
(B). Quiz yourself on how many of the numbers you have memorized by writing down as many of the number as you remembers as you remember in their correct order. ( You may skip over numbers as you remembers you do not remember and obtial " credit" for numbers you remember later in the list.) Put your quiz aside to be graded later.YOU HAVE TO DO IT YOUR SELF ..
(C) spend another minute studying the same list..YOU HAVE TO DO IT YOUR SELF ..
(D) quiz yourdelf again...YOU HAVE TO DO IT YOUR SELF ..
Repeat the process ten times ( or untl you have learned the entire list). Grade your quizzes ( a correct answer is having a correct number in its correct position in the list). Compile your data in graph with [t] , the amount of time spent studying, on the list). Compile your datain a graph with [t] , the amount of time spent studying, on the horizontal azis, and [L] , the fraction of the list learned, on the vertical axis...YOU HAVE TO DO IT YOUR SELF ..
TO KEEP IT GENERAL LET US NOT DEFINE UNIT OF TIME AS SECOND OR MINUTE OR HOUR OR SOME SUCH THING..LET US SAY IT IS ONE UNIT TIME ..[ IT COULD BE ANY THING 5 MTS , 10 MTS ,..ETC..DEPENDING ON INDIVIDUAL CAPACITY ]
ANOTHER MOST IMPORTANT CONSIDERATION IS THAT WHEN DATA IS ANALYSED BY % OF TOTAL LEARNT , THE TIMINGS CAN NOT BE THE SAME FOR TOAL DATA OF 1 OR 10 OR 100 OR 1000..IF WE DO FOR 1 DATA ..IN NO TIME WE ACHIEVE 100% LEARNING ...IF WE GO FOR 10000 DATA , TO LEARN 10% IT SELF MAY TAKE A LONG TIME ..SO THE MODEL HAS TO BE ADJUSTED FOR THAT ..THE K FACTOR CERTAINLY DEPENDS ON THAT ..
OUR LIST AS GIVEN IS 80 ... LET US EXPAND IT AND INCREASE TO SAY 160 TO COVER THE RANGE OF 50 & 100 NUMBERS TO BE MEMORIZED...AS ASKED FOR LATER ..
LET US ASSUME YOU GOT THE DATA AS FOLLOWS ....
T...0.....1....2.....3....4....5....6....7....8...9...10....11...12....13....14....15.....16.......ETC....
L..0 , 0.18 , 0.33 , 0.45 , 0 55 , 0 .63 , 0.7 , 0.75 , 0.8 , 0 .83 , 0.86 , 0.89 , 0.91 , 0.925 , 0.94 , 0.95 , 0.96 ...ETC
2. Use this data to apporximate your personal [k] value and compare your data with the predications of the model. You many use numeric or analytic methods, but be sure to carefully explain your work. Estiamte how long it would take you to learn a list of 50 and 100 three-digit numbers....
PUTTING THESE IN EQN.1 GIVEN ABOVE & USING LEAST SQUARE APPROXIMATION WE GET ....K = 0.2
IF YOU WANT THE METHODOLOGY PLEASE COME BACK ..
SO WE GET ... TO LEARN 50...50/160 = 0.312....T = 1.872 UNITS OF TIME [ SEE WE LEAVE IT TO ANY INDIVIDUAL TO QUOTE ANY TIME UNIT THAT SUITS HIM !!!!]..
TO LEARN 100/160 = 0.625........ T = 4.9 UNITS OF TIME
3. Repeat the process in part 1 on two of the other lists and compute your [k] value on these lists. Is your personal [k] value on these lists. Is your personal [k] value really constant, or does it improve with parctice? if [k] does improve with practice, how would you modify the model to include this?
PROCEED THE SAME WAY WITH ANOTHER SET OF DATA SAY ...AS FOLLOWS ...
WE GET K = 0.1 FOR THIS CASE ....
=============================================
AS POINTED OUT ABOVE , THE K VALUE FOR THE MODEL GIVEN DEPENDS ON INDIVIDUAL , TRAINING HE HAD IN SUCH TASKS AS MEMORISATION OF NUMBERS AS IS IN THIS CASE [ THERE ARE SPECIAL METHODS FOR THE PURPOSE AS TAUGHT & PROVED BY SOME NOTED PERSONALITIES] , LEVEL OF COMFORT / RELAXATION AT THE TIME OF TEST & THE TOTAL QUANTUM OF DATA . THIS IS QUITE DIFFERENT FROM REMEMBERING SAY THOUSAND FACTS & FIGURES & FORMULAS ETC. IN MATHS OR SOME SUBJECTS ...WHICH YOU MAY BE ABLE TO DO ..
SO THE MODEL NEEDS MODIFICATION ATLEAST FOR PUTTING A CAP ON TOTAL QUANTUM WHEN APPLYING THE MEASURE AS % OF TOTAL LEARNT IF A PARTICULAR UNIT SUCH AS MINUTES OR HOURS ETC. IS TO BE ASSIGNED TO THE TIME VARIABLE ...T.......
EVEN ALLOWING FOR VARIATIONS IN VALUES OF K FOR DIFFERENT CASES , OBVIOUSLY OTHER FACTORS ALSO NEED SUITABLE MODIFICATION S IN THE MODEL ..WHICH COULD PROBABLY BE BUILT IN TO THE EQN . ..SAY ONE CAN ARGUE THAT , THE RATE OF MEMORISATION FALLS AS THE QUANTUM MEMORISED INCREASES DUE TO SAY FATIGUE OR SATURATION LEVELS ETC, PARTICULARLY IN UN RELATED RANDOM NUMBERS AS IN THE PRESENT TEST ..
THAT IS DL / DT IS INVERSELY PROPORTIONAL TO L .....
THE CASE MAY BE DIFFERENT IF IT IS AN INTER RELATED SCIENCE OR MATHS TOPIC...
AS THEN THE INTEREST & CORRELATIONIN THE TOPIC MAY NEGATE THIS FACTOR
T 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 F 0 0.095163 0.181269 0.259182 0.32968 0.393469 0.451188 0.503415 0.550671 0.59343 0.632121 0.667129 0.698806 0.727468 0.753403 0.77687 0.798103Related Questions
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