Correct

辅导 vs 帮助

/ fǔdǎo vs bāngzhù /
Strokes

Definition

辅导 as a Verb or a Noun, and 帮助 as a Verb, which both means [coach; guidance; help].

Example

辅导 means "to instruct sb. to obtain knowledge, skill, etc." and is usually applied to what a teacher does to a student or a related unit to its target of instruction or service. 帮助 can be applied to knowledge, skill, and other things as well.
1) In the examples, 辅导 is used since it means either help of a teacher to the student or a related unit to its target of service.

2) In example ①, 帮助 can also be used if it is not formal instruction.
1
xiǎogāng
李小刚
jīntiān
今天
shàng
上课
yǒudiǎnr  
有点儿
gēnbushàng
跟不上
  
,
lǎoshī
老师
bié
特别
zài
hòu
课后
dǎo
辅导
  
(
bāngzhù
帮助
  
)
le
  

Li Xiaogang a bit lagged behind today in class,so Mr. Ma tutored him after class spe- cially.

2
Duì
对于
xiàgǎng
下岗
zhígōng
职工
  
,
mínzhèng
民政局
zhī
组织
le
péixùnbān
培训班
  
,
dǎo
辅导
men
他们
zài
jiù
就业
de
yǒuguān
有关
业务
zhīshi
知识
  

The Department of Civil Affairs offered a training course for the lay-off workers to train them some skills about reworking.

帮助 is used if concerns just ordinary affairs.
In example ⑤ 帮助 is the object but is still a verb.
3
Zhè
dào
de
shù
得数
duì
duì
不对
  
?
Qǐng
nín
bāngzhù
帮助
jiǎnchá
检查
xià
  

Is the answer to the question right? Come and check it for me.

4
ge
哥哥
bāngzhù
帮助
xiǎomíng
小明
zhěng
整理
hǎo
shūbāo
书包
  

Xiao Ming's brother helped Xiao Ming packing his schoolbag.

5
Mángrén
盲人
guò
马路
shí
dào
得到
le
xīn
热心
xíngrén
行人
de
bāngzhù
帮助
  

The blind man got help from a pedestrian when crossing the street.

辅导 is also a Noun meaning "a guidance course”.
6
Jīntiān
今天
yǒu
dǎo
辅导
  

Today I will attend my tutoring class.

7
zài
hěnduō
很多
科目
shàng
dào
得到
le
lǎoshī
老师
de
dǎo
辅导
  

He received tutoring from teachers on many subjects.