Kingdom: Animalia
Phylum: Arthropoda
Class: Insecta
Order: Mantodea
Family: Mantidae
Genus: Miomantis
Species: M. caffra
Binomial name: Miomantis caffra
Common name: African Praying mantis, Springbok mantis.

Miomantis caffra is a species of praying mantis native to Southern Africa. It was discovered in Auckland, New Zealand in 1978. The adults 32-60 mm long, They are predacious, that is they catch insects.
They can be variable in colour, green to brown and they lack the blue patch on the front legs that are visible on New Zealand praying mantis. African female praying mantis will eat a male after (and while) they mate. 
The Miomantis caffra usually hides under leaves The egg case is fawn and when laid it is foamy like meringue, which then hardens.

Although not considered a pest species, it is thought to be displacing the New Zealand native species (Orthodera novaezealandiae) in urban environments of northern New Zealand. The males of New Zealand native praying mantis tries to mate with this species but are immediately killed. This is thought to be a reason why the NZ species (Orthodera novaezealandiae) are in decline.

There has been researching done into the pheromone attraction of the NZ mantis male to the SA female.  

Sex determination: One can find what the sex is of all species of mantis by counting the abdominal segments. A female mantis generally has 6 segments while males have 8.  When counting the segments don’t count the segments that have the wing buds on them (mesothorax/metathorax).

There are 2 main differences in the appearance of the two species found in New Zealand.
The first main difference is body shape.
The NZ Praying Mantis (Orthodera novaezealandiae)
The thorax area between the front legs is as wide as the head and tapers gradually back to the waist.
They are usually green very rarely yellow.
The SA Praying Mantis (Miomantis caffra)
The thorax area between the first two pair of legs is narrower than the head
They are green to pale brown and often larger than the NZ mantis. 

The second main difference 
The NZ Praying Mantis (Orthodera novaezealandiae) has a vivid blue and purple patch on the inside of its front leg. 
The SA Praying Mantis forelegs have 4-6 dark spots on the inner surface of coax. The femur has 2 small, dark, proximal patches.

Other differences between the two species.
The NZ mantises both sexes can fly.
The SA mantises females do not fly.
The NZ female mantises rarely eat the male after copulation (sexual cannibalism). 
The SA female mantises usually eat the male during or after copulation.
The NZ female’s abdomen is evenly swollen and are almost completely covered by its wings
The SA female’s abdomen is much fatter and protrudes outside its wings. A female cannot fly despite having wings.
The NZ mantises hindwings are clear on both sexes
SA mantis female’s hindwings are small and sometimes are a bright yellow. The male’s hindwings are large and clear.
The NZ mantises nymphs are coloured green with a strong longitudinal brown band. Their legs are informingly green. The body is straight. Older nymphs are uniformly a bright green.
The SA mantises nymphs are coloured a grey-brown, mottled. The legs are banded. The abdomen is strongly up-curved. Older nymphs are a pale green or a straw brown colour. They often have strong longitudinal stripes and banded legs.
The NZ mantises are generally found on the top side of a leaf. 
The SA mantises usually lurk on the underside of a leaf.
The NZ mantises don’t overwinter. 
The SA mantis can overwinter in warmer climates.

A winged male. Females are not winged..1-Miomantis caffra.JPG 

The underside of a male.
Miomantis caffra-005.jpg

A female with a winged male.
Praying mantis African Miomantis caffra.jpg

A photo showing the wings of a male African praying mantis. The male's antennae are longer than the females.
1-Miomantis caffra .jpg

A female
1-Miomantis caffra.JPG 

A female mantis lures males with her pheromones, and when one approaches, the prospective mate engages in a courtship dance. If the daring he-mantis is deemed worthy, he is allowed to hitch a ride on the much larger female's back and commence fertilization. Mating can last several hours.
A female praying mantis often decapitates and ingests the head of her mates after copulation, a phenomenon biologists refer to as “sexual cannibalism. This it occurs in 13–28% of the matings1-Miomantis caffra African Praying mantis.JPG 

The male is carried by the larger female. The mantis reproductive organs are located on the tip of their abdomens. 
1-Miomantis caffra African Praying mantis-001.JPG

A female laying an egg mass on some fabric hanging on a clothesline.Miomantis caffra laying eggs-002.jpg

Note the dark pigment spots on the inner surface of the fore-femur, an identifying feature of the African praying mantis species. The number can vary.Miomantis caffra African Praying mantis head.jpg 

The photo below shows the difference between Orthodera novaezealandiae (New Zealand Praying mantis) and the African species, Miomantis caffra. Check the inside of the forelegs. The African species have a narrower waist. (Click to enlarge)
Difference between Praying mantis in NZ.jpg 

A female.
Miomantis caffra African praying mantis-008.jpg

A female.
Miomantis caffra-003.JPG

A female full of eggs. eggs.
Miomantis caffra African Praying mantis Springbok mantis.-001.JPG

A male that was attracted to a light.
Miomantis caffra.JPG

Miomantis caffra.African Praying mantis-7.JPG

A male head
Miomantis caffra.African Praying mantis-8.JPG

Head Miomantis caffra African praying mantis-001.jpg 

A yellow form among the flowers of Solanum laxum. Note the distinctive row of spots on the top of the body.
Yellow Miomantis caffra on Solanum laxum .JPG 

Photos of juveniles below.
1-1-SA mantis-001.jpg

A male nymph with wing buds developing.
1-Miomantis caffra.JPG

5-Miomantis caffra-006.JPG

4-Miomantis caffra-005.JPG

Young male (8 body segments).  Young mantis can regenerate a lost leg
1-Miomantis caffra juvenile.JPG

A tiny juvenile just hatched on my finger.Juvenile Miomantis caffra African Praying mantis-6.JPG 

A nymph 5 mm body length.
South African Praying Mantis Miomantis caffra-001.JPG  

This object is an ootheca, (or egg case), deposited by a Miomantis caffra praying mantis. The ootheca is a system used by a number of invertebrates, including many molluscs and a number of the insects such as cockroaches and praying mantis. The mantis lay their eggs into a foamy protein which hardens and forms a protective case. Usually laid on vegetation or sometimes a surface like a wall or brickwork. The young can take 3-6 months to emerge.The ootheca of Miomantis caffra always has a tapered end on them like you get when you put toothpaste on a toothbrush.
Miomantis caffra egg mass African.JPG 

Emerging young.
Hatching egg case.jpg

An old empty egg case.
Ootheca of Miomantis caffra African Praying mantis.JPG

Thanks to Wikipedia for text and information